arctic juice company makes three juice blends: pineorange, using 2 portions of pineapple juice and 2 portions of orange juice per gallon; pinekiwi, using 3 portions of pineapple juice and 1 portion of kiwi juice per gallon; and orangekiwi, using 3 portions of orange juice and 1 portion of kiwi juice per gallon. each day the company has 800 portions of pineapple juice, 650 portions of orange juice, and 350 portions of kiwi juice available. its profit on pineorange is $1 per gallon, its profit on pinekiwi is $2 per gallon, and its profit on orangekiwi is $1 per gallon. how many gallons of each blend should it make each day to maximize profit? what is the largest possible profit the company can make?

Answers

Answer 1

A matrix is a row and column representation of the elements in a square or rectangular pattern.

Mathematically,

The following formula is used to get the value of the inverse matrix A.

Let x represent the quantity of gallons of Pine Orange Juice.

Y is the volume in gallons of pineapple juice, and

Z be the volume in gallons of orange-kiwi juice.

The rectangular arrangement of numbers, elements, and objects is called a matrix. A matrix's row and column are its horizontal and vertical arrangements, respectively. The ratio of rows to columns determines the order of a matrix. If a matrix has entries in 2 rows and 3 rows, then its order is 23.

Matrix representation of a linear system Each column in an augmented matrix represents a variable or the constant terms, and each row in an augmented matrix represents one equation in the system.

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Related Questions

10. juan foods pays off a long-term debt in full. which one of the following statements describes the effect of the transaction on juan foods? current ratio increases; total debt to equity ratio decreases current ratio decreases; total debt to equity ratio decreases current ratio decreases; total debt to equity ratio increases current ratio increases; total debt to equity ratio increases

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The statement that best describes the effect of the transaction on Juan foods is total debt to equity ratio declines as current ratio declines.

Elaborate about liquidity ratio.

The current ratio, also known as the liquidity ratio, assesses a company's ability to pay off short-term debts or those due within a year. It explains to investors and analysts how a company can use its current assets to the greatest extent possible to pay down its current liabilities and other payables.

The debt to equity ratio is calculated by dividing a corporation's total liabilities by its shareholders' equity. The DE Ratio is defined as Total Liabilities / Shareholder Equity. Liabilities: Every one of the company's liabilities are regarded here.. If Juan foods pays away its long- term debt completely, the bucks falls, therefore current assets might also increase, but current obligations won't decrease, hence recent ratio will decrease.

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who is at greater risk of shortened telomeres? chase, an extreme sports athlete marcus, an overly optimistic dreamer tito, who drinks soda rather than coffee pepe, a ph.d. in behavioral economics

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The correct option is Tito, who drinks soda rather than coffee. He is at a greater risk of shortened telomeres.

At the termination of linear chromosomes, a region of repeating nucleotide sequences known as a telomere is connected to specific proteins. Even though they can have various architectural forms, telomeres are a prevalent genetic trait that is most frequently found in eukaryotes. They safeguard the stability of linear chromosomes by stopping DNA repair mechanisms from misinterpreting the very endpoints of the DNA strand as a double strand break, and they protect the terminal sections of chromosomal DNA from gradual degradation in the majority, if not all, organisms bearing them.

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Which type of involvement has been found to enhance the adjustment of low-income students in their transition to middle school?.

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Parental  involvement has been found to enhance the adjustment of low-income students in their transition to middle school

What is the positive effect of parental involvement?

Parent participation is the working together of the parents and the school to enhance the educational experience and academic success of the children. Numerous studies have revealed how crucial parental involvement in a child's education is to that child's academic achievement. Parental involvement enhances learning outside of the classroom, gives kids a better overall experience, and improves their academic performance. Parents must encourage their children's learning at home as well as in preschool settings. The degree of participation is essential in creating a significant impact on the student's performance. The more the parental involvement, the the higher the impact on the child's academic achievement.

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if a firm with market power is not making enough profit (in equilibrium), a. it will lower price thereby increasing total revenue because demand is elastic. b. it will raise price thereby increasing total revenue because demand is inelastic. c. it will exit the industry in the long run if economic profit is negative. d. it will expand sales until it reaches the unit elastic point on demand.

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If a firm with market power is not making enough profit (in equilibrium), .it will expand sales until it reaches the unit elastic point on demand.

Due to its dominant position in the market, the company is able to set either its output level or its price. When the demand elasticity is 1 (or "unit elastic"), any revenue loss brought on by a decline in demand will be made up for by an increase in price, and vice versa. As a result, profit will be as high as possible.

If economic profit is negative, the firm with market dominance will never be able to sustain a long-term profit.

The elasticity of Demand:

The quantity reaction to a change in price is what economists refer to as the elasticity of demand. The coefficient of elasticity is greater than 1 in the presence of elastic demand. The coefficient of elasticity is less than 1 if the demand is inelastic. When the coefficient is exactly equal to 1, this is referred to as unit elasticity.

Hence, Option D is the correct answer.

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3. patnode's 2015 statement of cash flows contains four items in the financing section. three of them are short-term debt issued, $15,000; short-term debt paid, ($10,000); and dividends paid, ($1,000). what is the fourth item in the financing section? retained earnings, $4,600 common stock issued, $3,000 long-term debt paid, ($3,000) cash from financing, $3,000

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2nd option seems to be the correct option. Common stock issued $3000 is the correct answer. Common stock is the fourth item under the financing section.

The ownership of equity in a firm is represented by common stock which is a category of securities. There are several words that are equivalent to the term common stock, such as common share, ordinary share, or voting share. Common stockholders are the owners of the right to participate in the election of the board of directors, vote on significant corporate decisions, and claim a portion of the company's profits.

The fourth item in the financing section is a common stock issued $3000. The remaining three items in the financing section retained are short-term debt issues $3000, short-term debt paid $10,000 and dividends paid $1000

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outline 2 advantages to H&H of using secondary market research​

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Answer:

Explanation:
It provides quick information and factual background perspectives
It is less expensive and affordable

in the long-run equilibrium for a perfectly competitive firm, price equals which of the following? group of answer choices minimum short-run average total cost. price. all answers are correct. short-run marginal cost.

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Price is higher than long-run average cost. This is NOT a sign of long-run equilibrium for a firm with perfect competition.

Over time, the business will produce at the output level where the long-run average cost is the lowest.

when both the long-term average cost and the long-term marginal cost are included in the pricing

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entities that place their own shelving in stores and continuously stock the shelves (this, relieving the host store of dealing with this activity) are known as .

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Entities that place their own shelving in stores and continuously stock the shelves are known as rack jobbers.

What is an entity and what we call the entities that place their own shelving in stores and continuously stock the shelves?An entity is an existing real collaborative compartment , it could be a single person to a single organization.Here the question is asked about entities that place their own shelving in stores and continuously stock the shelves .Rack jobber is a company that has a deal with retailer to display the sold products.So rack jobber are the entities that place their own shelving in stores and continuously stock the shelves that is relieving the host store of dealing with this activity.

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Which policy sought to further american interests in latin america by using the financial power of american business?.

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Dollar diplomacy was the policy sought to further American interests in Latin America by using the financial power of American business.

What is Dollar diplomacy?

Dollar diplomacy refers to American foreign policy to minimize threats of military force. The term Dollar diplomacy was introduced by William Howard Taft and his secretary Philander C. Knox in 1912, In order to ensure financial stability of Latin American and Eat Asian countries. Dollar diplomacy refers to the process in which a county's financial power is used to extend international influence.

Dollar diplomacy played an important role in widening the economic markets of America and also established Unites states as a predominant power. Dollar diplomacy helped to boost the struggling economies of Latin American and East Asian countries while expanding the US. The countries like China, Mexico, Dominican Republic and Russia. In spite of the success dollar diplomacy failed to prevent economic instability and revolutions in Mexico, China and Dominican Republic.

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the lowest monthly commission that a salesman earned was only 1/4 more than 1/3 as high as the highest commission he earned. the highest and lowest commissions when added together equal $1020. what was the lowest commission?

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The lowest commission is $189.

What is commission?

Commission refers to the remuneration which is in variable form included in the goods and services which is sold, it is a kind of motivation provided to the sales person as a reward.

According to the question, the Commission that a salesman earned       is  1/5 more than ¼ as high as the highest commission earned. The computation of the commission is as follows:-

Let x be the highest commission

1.2 (1/4x) + x        = $819

1.3x                      = $819

x                          = $630

Total commission - highest commission = lowest commission

819 – 630           = $189 is the lowest commission

Therefore, it can be concluded that The lowest commission is $189.

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suppose there is a major technological advance in the production of a good that causes production costs, and thus prices, to fall. if demand for the product is relatively inelastic, what will happen in the market?

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The decline in prices will generally outpace the rise in demand.

Make a note about the price elasticity of demand.

The amount by which a product's consumption alters in response to price changes is defined as the price elasticity of demand. The formula is as follows:

Price Elasticity of Demand is the division of the percentage change in quantity demanded by the percentage change in price.

Economics experts use the idea of price elasticity to examine how supply and demand for a good or service fluctuate in response to price changes.

Like demand, supply also exhibits price elasticity. Price elasticity of supply is the term that refers to the relation between a price change and a supply change. By deducting the percentage change in price from the percentage change in quantity offered, it is estimated. What things are produced and how much they cost are determined by the interaction of the two elasticities.

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a semiannual payment bond with a $1,000 par has a 7 percent quoted coupon rate, a 7 percent promised yield to maturity, and 10 years to maturity. what is the bond's duration?

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The bond's duration is 7.035.

What is bond?
A bond is a fixed-income investment that simulates a loan from a shareholder to a lender (typically corporate or governmental). An I.O.U. here between borrower and the lender that specifies the terms of the loan as well as its payments is what is meant by a bond. Businesses, local governments, states, and other types of government use bonds to finance their operations and capital expenditures. The holders of bonds are the issuer's creditors or debtors. Bond details typically include the conditions for the borrower's variable interest payments as well as the end date by which the loan's principal is required to be paid to a bond owner.

price of the bond = 1000 since coupon rate = yield
when rates rise by 1%
N = 10, FV = 1000, PMT = 70, rate = 8%
use pV funciton in Excel
price = 932.8992
when rates fall by 1%
N = 10, FV = 1000, PMT = 70, rate = 6%
use pV funciton in Excel
price = 1073.6009
duration = (1073.6009 - 932.8992)/2*1000*1% = 7.035

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which ratio measures the number of dollars of operating earnings available to meet each dollar of interest obligations on the firm's debt? multiple choice fixed-charge coverage ratio times interest earned cash coverage ratio roa

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The ratio measures the number of dollars of operating earnings available to meet each dollar of interest obligations on the firm's debt and is called the time's interest earned ratio.

What is the time's interest earned ratio?

Times interest earned ratio is described as a means through which the ability of a firm to fulfill the debts based on current income. It is important to mention that it is also called as interest coverage ratio. The ratio gives a clear indication of the constraints and the relative freedom that a company experiences when meetings debt obligations.

The times earned ratio highlights the ability of a company to pay off its debts through operating income. If a company has a better time interest earned ratio, then the company has sufficient cash with it to pay the debts.

It can be concluded that the ratio measures the number of dollars of operating earnings available to meet each dollar of interest obligations on the firm's debt and is called the time's interest earned ratio.

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market failure occurs when part 2 a. the market system fails to allocate an equal share of resources to all individuals. b. the market system fails to allocate resources to each individual according to their needs. c. the unrestrained market economy leads to too few or too many resources going to a specific economic activity. d. the market system fails to allocate resources to each individual according to their abilities.

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The correct option is c. Market failure occurs when unrestrained market economy leads to too few or too many resources going to a specific economic activity.

Market failure, according to neoclassical economics, occurs when a free market fails to allocate products and services in a Pareto-efficient manner, frequently resulting in a net loss of financial value. Market failures can be seen as situations when people's pursuit of their own self-interest results in inefficient outcomes that can be rectified from a societal perspective. Although the word was first used by economists in 1958, the idea can be found as far back as the Victorian philosopher Henry Sidgwick. Public goods, time-inconsistent desires, asymmetric information, non-competitive markets, principal-agent issues, or externalities are frequently linked to market failures.

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you have been asked to provide a quick analysis that will calculate the internal rate of return of the stream of cash flows depicted below. if the discount rate is 10% per year, what is the irr of this proposition? express your answer as the closest whole percent.

Answers

Rate of Return - So this answer is very close to zero, So any other answer given answer 29% and 35% will not be true since if be apply these values NPV will go further negative. so the answer is 24%

What is Rate of Return?
A rate of return (RoR) is the net profit or loss of an investment over a specific time period represented as a percentage of the investment's starting cost.

When calculating the rates of return, you are determining a percent change from the beginning to the end of the period. A rate of return (RoR) can be used to any investment scheme, from property investment to securities, stocks, and fine art. The RoR works with any asset as long as it is purchased at one moment in time and generates cash flow at a certain point in the future. Investments are evaluated in part based on past rates of return, that can be compared to assets of the same type to decide which investments are most appealing.

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an investor is considering purchasing a five-year corporate bond. the yield on the bond is 6.25%, the rate of inflation is 3%, the yield on the on-the-run treasury is 4.80%, and the price of the bond is par (or $100.00). the absolute yield spread, relative yield spread, and yield ratio, respectively, are:

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The absolute yield spread, relative yield spread, and yield ratio, of the five-year corporate bond respectively, are: 1.45%, 30.21%, 1.30.

What is corporate bond?A firm can raise funds by issuing debt in the form of corporate bonds.Corporate bonds can be actively traded on the secondary market, but when an investor purchases one, they are actually making a loan to the company in exchange for a number of interest payments.Corporate bonds normally have higher interest rates than U.S. government bonds because they are thought to be slightly riskier in general.The term "Triple-A" bonds is used to describe the highest quality (and safest, lower yielding) bonds, whereas the term "junk" is used to describe the least creditworthy bonds.

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the risk-free rate is 6% and the expected rate of return on the market portfolio is 10%. calculate the required rate of return on a security with a beta of 1.24. note: do not round intermediate calculations. enter your answer as a percent rounded to 2 decimal places. if the security is expected to return 16%, is it overpriced or underpriced?

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If the expected rate of return on the market portfolio is 10% and the risk-free rate is 6%, a security with a beta of 1.24 must return 10.96%.

The profit or loss on an investment over time is known as a rate of return. In other terms, the rate of return is the increase in value relative to the cost of the initial investment, usually given as a percentage. When  market portfolio the ROR is positive, the investment is said to have made a profit, and when it is negative, it has suffered a loss.

the security's required return is equal to 6% plus 1.24*(10 - 6%) the security's required return is equal to 10.96%

If the expected return is 16%, the asset is underpriced.

The rate of return is used to calculate the overall profit or loss on an market portfolio investment. The RoR statistic can be used to a wide range of assets, including bonds, real estate, fine art, and stocks.

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total unemployment is 5%. frictional unemployment is 2.3% and the economy is at full employment. what is cyclical unemployment? round to 1 decimal place and no percent sign needed.

Answers

The answer is 0

Total unemployment is 5%. Frictional unemployment is 2.3% and the economy is at full employment. What is cyclical unemployment?

all of the following are benefits of economic growth except a. political stability. b. urban congestion. c. improved health. d. reduction in illiteracy.

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Urban congestion is not a benefit of economic growth.

What is Urban congestion?If a place is busy, the place is very busy and blocked with traffic and people.Major causes of urban congestion include road works, accidents, same-route congestion, and vehicle delays due to large numbers of pedestrians. All of these factors are relatively easy to manage, but surprisingly many solutions have not been provided to economic growth.Urban congestion is caused by many factors, including: B. Poorly maintained or congested roads, local factors such as traffic light patterns in cities, and events such as accidents and road construction.Severe traffic jams can also cause a driver to get into a "road his rage" incident. Economic growth can have minor effects such as increased stress, or larger effects such as vehicle damage, driver or passenger injury or death.

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assume peanut butter and jelly are complements. ceteris paribus, an increase in the price of peanut butter will cause the equilibrium price of jelly to group of answer choices increase and the equilibrium quantity of jelly to increase. decrease and the equilibrium quantity of jelly to decrease. decrease and the equilibrium quantity of jelly to increase. increase and the equilibrium quantity of jelly to decrease.

Answers

Jelly demand will move to the left of the supply curve (decrease). You would purchase less peanut butter if its price rose, thus you would also purchase less jelly (since they are complements).

As a result, peanut butter manufacturers won't be able to create as much at various price points as they once could. As a result, the supply curve will move to the left, raising the equilibrium price and lowering the equilibrium quantity. Jelly demand will also be impacted. Keep in mind that peanut butter and jelly go well together. Even though the price of jelly remained the same, we are eating less jelly because we are eating less peanut butter. Jelly's popularity declines (jelly demand curve shifts inward). Demand for a product rises as consumer income rises, particularly when the goods are standard. Goods classified as "normal" are those whose demand rises as consumer income does. Due to their increased purchasing power, consumers will desire more peanut butter as their income rises. Jelly's complimentary product, peanut butter, will see a boost in demand if jelly's price drops. The price of peanut butter will rise as a result of the increased demand. In contrast, the curve will turn inwards as the cost of supplementary commodities rises. For alternative commodities, the inverse is true. For instance, if peanut butter prices drop dramatically, demand for jelly, a complimentary commodity, rises.

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the introduction of efficiency-boosting winglets on aircraft at southwest airlines, and the adoption of automatic mail-sorting machines by the u.s. postal service are examples of:

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The  introduction of efficiency-boosting winglets on aircraft at southwest airlines, and the adoption of automatic mail-sorting machines by the u.s. postal service are examples of  reverse innovation.

What is Reverse innovation?

Reverse innovation  can be described a the one of the innovation process that is been used in most of the developing as well as the underdeveloped nation which involves the process  in which the goods are been developed as inexpensive models  so as to be able to meet there needs and make life not to be unbearable for them by reducing the price that they are selling it.

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which marketing process is a systematic way to link collected and analyzed marketing information of customer insights with marketing opportunities and solutions to marketing problems?

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Utilizing customer insights obtained from gathering and evaluating marketing data, marketing research is a systematic procedure for discovering marketing opportunities and solving marketing problems.

Explain about the Marketing research?

Consumer behavior and economic trends are combined in market research to support and enhance your business concept. Understanding your customer base from the start is essential. Even when your company is still only a vision in your mind, market research allows you to lower risks.

Market research gives you vital knowledge about your industry and competitive environment. It can inform you of how the target clients and customers you want to reach view your business.

Marketing research contributes to the function of marketing planning by generating alternative courses of action, offering information to help marketing managers assess those alternatives, and providing guidance on how to put those alternatives into practice.

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steven consumes only two goods, both of which are normal goods. he is maximizing his utility in consumption of both goods. now assume the price of one of the goods falls. how should steven adjust his consumption after the change in price?

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Steve should consume more of the item whose price has decreased and less of the item whose price has not changed.

The income effect and the substitution effect both work in the same direction for normal goods; a decrease in the relative price of the good will increase quantity demanded because the good is now cheaper than substitute goods and because the lower price means that consumers have more total purchasing power.

In general, when the price of one good falls, the demand for another rises, and the two goods are referred to as complements.When the price of one good falls, the demand for another falls, and the two goods are referred to as substitutes.

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the process of providing management with accurate forecasts of trends related to external changes in geographic areas where the firm currently is doing business or is considering setting up operations is known as

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The process of providing management with an accurate forecast of trends relating to external changes in the geographic area in which a company currently does business or is considering setting up operations is known as environmental scanning.

Management is an essential thing for an organization because if there is no management, then an organization will not achieve their goals. The most important function and purpose of management is for organizations to achieve their goals effectively and efficiently. The most common goal of an organization is to satisfy consumers and stakeholders. The most important function and purpose of management is for organizations to achieve their goals effectively and efficiently. The most common goal of an organization is to satisfy consumers and stakeholders.

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the customer service representative at the department store who keeps smiling as she listens to the customer bitterly complain about her newly purchased product is engaging in deep acting. group of answer choices true false

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The statement is True.

The required details about customer service representative is mentioned in below paragraph.

A customer service representative assists clients who have questions, requests, or issues regarding goods or services they have obtained from the company. The needs of the clients are prioritized at every stage of the procedure, and solutions are provided that are made specifically for those particular problems. Orders are taken, returns are processed, consumers are helped with complaints and inquiries, and information about products and services is given by customer service personnel. Because they help customers understand the products and reply to questions about their reservations, they are occasionally seen as having a role in sales.

The following responsibilities belong to customer service agents:

Maintaining a constant, compassionate, and professional demeanor with customers.

Answering client questions as soon as possible.

Use a variety of avenues to reach out to customers.

Addressing client complaints after they are acknowledged.

Having a thorough understanding of our products to enable you to respond.

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Think of something you recently purchased on impulse. What made you decide to make the purchase? would you buy it again, or do you wish you hadn’t bought it in the first place?.

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A purchase is made based on the need or desire of a person.

Making a purchase on impulse means buying something at the instant spot without thinking about it before.

You can make a purchase for items such as a dress on the spot. You took the decision to buy it because it was a beautiful one and although you did not have the budget but you thought that you will cut loose on other items.

Whether we will buy it again or not depends on the budget of the person. If he manages to squeeze the dress into the budget, then he will buy it again. If not, then he will think that he might not have brought it in the first place.

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assume the following: purchases of raw materials $ 38,000 beginning raw materials inventory $ 10,000 ending raw materials inventory $ 14,000 direct materials used in production $ 29,700 what was the amount of indirect materials used in production?

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The correct answer is $5,800  

 

Beginning raw materials inventory        $10,000

Add: Purchase of raw materials                $38,000

                                                                $48,000

Less: Ending raw materials inventory        $14,000

The raw material used                                 $34,000

Less: Direct materials used in production  $28,200

Indirect materials used in production        $5,800

Stock is an asset because a corporation invests money in it that it then converts into sales when it sells the inventory. Stock that doesn't promote as quickly as anticipated may emerge as a legal responsibility.

Inventory turns into a price when the product is offered. As soon as a purchaser offers you cash in alternate for that item, it actions from the class of an “asset” to end up a “fee” on your income announcement.

Yes. At the quit of the year, your commercial enterprise can be taxed on your profits, which your stock circuitously impacts as it will decrease your income. This may then reduce your taxable earnings. Your profits are your total sales minus the fee of goods offered (COGS).

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the recency effect occurs when a rater gives greater weight to information received first when appraising an individual's performance. question 33 options: true false

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The recency effect occurs when a rater gives greater weight to information received first when appraising an individual's performance is a true statement.

What does recency effect refer to?

The recency effect is a memory phenomena where individuals tend to accurately recall information that is most recent. It is a cognitive bias whereby the last things, concepts, or arguments are remembered more vividly than the initial ones. The recency effect, in contrast to the primacy effect, is the propensity for people to more readily recall items that are presented last in a list. This is probably because those items were the most recent and are still stored in your short-term memory in the case of the recency effect.

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the difference in the calculation of the cost-to-retail percentage applying the conventional retail method and the average cost method is that the average cost method: multiple choice includes markups. excludes markdowns. includes markdowns. excludes beginning inventory.

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Net markups are included in the traditional retail technique, while net markdowns are not. The retail inventory method is an accounting technique for calculating the market value of a store's inventory.

The retail approach offers the final inventory. Applying various cost flow techniques, estimate ending inventory and cost of goods sold using the retail inventory approach.

Includes markdowns

Net markups are included in the traditional retail technique, while net markdowns are not. The average cost approach takes into account net markups as well as net markdowns.

Includes an initial inventory

The cost-to-retail percentage is only calculated using current-year purchases under the LIFO technique.

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robinson's has 25,000 shares of stock outstanding with a par value of $1 per share and a market price of $44 a share. the balance sheet shows $25,000 in the common stock account, $425,000 in the paid in surplus account, and $350,000 in the retained earnings account. the firm just announced a 2-for-1 stock split. how many shares of stock will be outstanding after the split?

Answers

50,000 shares of stock will be outstanding after the split.

How do stock splits work?

A stock split occurs when a company issues more shares to increase the stock's liquidity. Because a split does not fundamentally alter the company's value, even though the number of shares outstanding rises by a certain multiple, the total dollar value of all outstanding shares stays the same.

Two-to-one and three-to-one split ratios are the most popular (sometimes denoted as 2:1 or 3:1). Accordingly, each stockholder will receive two or three shares, respectively, for each share they had prior to the split.

Calculation:

The number of shares after the stock split equals the number of shares before the stock split multiplied by the stock split ratio (25,000 shares before the stock split).

The stock-split ratio is two to one.

Shares remaining after stock split =25,000*2/1 =50,000 shares

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studying macroeconomics helps us learn about the value and limitations of , which occurs across nations, typically involving foreign exchange transactions. a.) business cycles b.) economic indicators c.) global trade d.) fiscal policy 9. a supply plane needs to drop a package of food to scientists working on a glacier inalaska. the plane flies 100 m above the glacier at a speed of 150 m/s. how far short of the target should it drop the package? how did gaius marius transform the roman military? group of answer choices by permitting landless men to serve in the army, he tapped a large reservoir of idle manpower. he developed a professional corps of engineers assigned to each legion to provide onsite advice and solutions to situations that arose. by permitting slaves to serve in the army with possibilities of freedom for service, he expanded the size of military forces dramatically. he established uniform military laws to which both officers and common soldiers were subject, which also gave them significant privileges for their service. Which graph shows the line y-4-2(x+1)? The work ofpositive changes in their schools. has given Kentucky students a "voice" for makingelected officialsthe school systemother adultsthe Voice team 4.74 do you own a tablet? a study20 conducted in june 2015 examines ownership of tablet computers by us adults. a random sample of 959 people were surveyed, and we are told that 197 of the 455 men own a tablet and 235 of the 504 women own a tablet. we want to test whether the survey results provide evidence of a difference in the proportion owning a tablet between men and women. state the null and alternative hypotheses, and define the parameters. give the notation and value of the sample statistic. in the sample, which group has higher tablet ownership: men or women? use statkey or other technology to find the p-value. brittany is traveling in germany and went to a bank to convert $200 into euros. she was concerned when she received fewer euros than she had last week when she converted the same amount of money. the teller explained that the money had been converted based on the rate that was available today for currency exchange and this rate fluctuates. what type of rate is being used in this transaction? Consider the following functions round your answer to two decimal places if necessary If the two triangles shown below are similar based on the giveninformation, complete the similarity statement, otherwise choose the"Not Similar" button.18 in9 inHB7 in14 inACAB-ANot Similar a machine is purchased on september 30, 2024, for $60,000. useful life is estimated at four years and no residual value is anticipated. the double-declining-balance depreciation method is used. depreciation expense for 2025 should be: Please help this is urgent your effort is appreciated A committee of five members is to be randomly selectedfrom a group of nine freshman and seven sophomores.Which expression represents the number of different committeesof three freshman and two sophomores that can be chosen? a 100 ml solution contains 0.100 m formic acid (pka 3.75) and 0.100 m sodium formate. if 1.00 ml of 0.050 m hcl were added, what would be the ph of the solution? A plane's average speed between 2 cities is 800 km/hr. If the trip takes 4.5 hours howfar does the plane fly? The ratio of the volume of two spheres is 8:27. What is the ratio of their radii? help meeeeeeeeee pleaseee !!!!! Use the appropriate differenatal formula to find the derivative of the given function6)3(16) 96) = (x-1) (2x+115 many southerners had strong negative feelings about dr. martin luther king, jr. during the civil rights movement, but history now honors him for his contributions to racial equality. according to emile durkheim, this is an example of deviance: group of answer choices clarifying social norms. increasing conformity. resulting from being labeled a deviant. Which statement describes how a macroscopic property of gases provides information about microscopic gas particles?A. Gases fill their container, showing that gas particles are not tied together and can move far apart.B. Gases fill their container, showing that gas particles are strongly attracted through electrostatic forces.C. Gases have a fixed volume, showing that gas particles are strongly attracted through electrostatic forces.D. Gases have a fixed volume, showing that gas particles are not tied together and can move far apart. if price is $40 and the firm produces the optimal level of output in this period, what is likely to occur next period? a. the firm will increase output. b. price will fall. c. firms will exit the market. d. b and c. e. all of the above.