—in its most basic form, cross-docking is the process of loading products onto departing rail cars or trailers after they have been loaded into arriving ones. This eliminates the need for warehousing (storage).
The term "person or firm who transports freight under contract to a limited number of shippers" refers to which sort of transportation company?a person or business that transports freight for a single or a small group of shippers under contract. not required to assist the public. A person or firm that hauls its own goods as part of a venture that makes, uses, sells, or purchases the goods being transported. Cross-docking is a LEAN idea since it minimizes some wasteful transit and the requirement to keep inventory. REDUCED LOT SIZES and SHIPPING Numbers - By decreasing lot sizes and shipping quantities, a business can boost warehouse productivity and expedite shipping.
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analyzing and computing dividends and effect of options exercises following is the stockholders' equity section of the intuit inc. balance sheet (dollars in millions, except par value; shares in thousands). changes in the company's outstanding shares are due to (1) treasury share purchases by the company and (2) issues of treasury shares for employee stock options. stockholders' equity ($ millions) july 31, 2014 july 31, 2013 preferred stock, $0.01 par value authorized-1,345 shares total; 145 shares designated series a; 250 shares designated series b junior participating issued and outstanding - none $ - $ - common stock, $0.01 par value authorized-750,000 shares outstanding-285,853 shares at july 31,2014 and 300,737 shares at july 31,2013 3 3 additional paid-in capital 3,558 3,198 treasury stock, at cost (6,430) (4,952) accumulated other comprehensive income (loss) (2) 20 retained earnings 6,405 5,607 total stockholders' equity $3,534 $3,876 a. in the fiscal year ended july 31,2014, intuit reported net income of $1,009 million. how much did intuit pay in dividends to its common shareholders?
The amount that Intuit paid in dividends to its common shareholders for the year ended July 31, 2014, was $211 million.
How are the dividends determined?The dividends paid to common stockholders are the total dividend declared less the amount paid to other stockholders like preferred.
Since no dividends were paid to others, the total amount declared was paid to the common stockholders.
We can compute the total declared dividends using the beginning and ending balances of the retained earnings and the net income for the period.
Retained earnings:Beginning balance $5,607
Net income 1,009
Ending balance (6,405)
Dividends paid $211
Dividends to preferred stockholders = $0
Dividends to common shareholders = $211
Thus, the dividends paid to the common shareholders were $211 million.
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the production possibilities frontier illustrates group of answer choices the combinations of output that an economy should produce. the combinations of output that an economy should consume. the combinations of output that an economy can produce. all of the above are correct.
The production possibilities frontier illustrates the combination of output that an economy can produce.
An economy is a place of the production, distribution and trade, in addition to consumption of goods and offerings. In popular, it's far described as a social area that emphasize the practices, discourses, and fabric expressions related to the manufacturing, use, and management of scarce resources'.
An economy is a machine of inter-associated production and intake activities that in the long run decide the allocation of resources within a collection. The manufacturing and intake of products and services as an entire satisfy the needs of those residing and running within it.
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Michael noticed an inaccuracy in his credit report and he is interested in applying for a new credit card next month. Which action should he take?.
As he noticed an inaccuracy in his credit report but also interested in applying for a new credit card next month, the proper action will be to report to the Credit bureau.
What is the role of Credit bureau?Basically, a credit bureau refers to the credit reporting agency that collects and researches individual credit information and sells it to creditors for a fee so they can make decisions about extending credit or granting loans.
Most time, these credit bureau collects and researches about an individual credit information and thus sells it to the requesting creditors for a fee so they can make decisions about granting loans.
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in 2025, the robinson company switched its inventory method from fifo to average cost. inventories at the end of 2024 were reported in the balance sheet at $22 million. if the average cost method had been used, 2024 ending inventory would have been $20 million. ending inventory in 2025 is $23 million using average cost, and would have been $26 million if the company had not switched from the fifo method. the company's tax rate is 25%. the effect of the change in method on 2025 income before taxes is a:
A million dollars less will be made before taxes in 2025 as a result of the method change.
First In, First Out (FIFO): What Is It?First In, First Out, also known as FIFO, is a method of managing assets and valuing them that prioritizes the sale, use, or disposal of assets that were produced or acquired first.
For taxation purposes, FIFO presumes that the cost of goods sold on the income statement includes the assets with the oldest costs (COGS). The assets in the inventory that are still available are compared to those that were just bought or made.
Calculation:
Inventory's average cost rose by $3 million ($23 million minus $20 million).
There would have been a $4 million increase in FIFO inventory ($26 million minus $22 million).
As a result, selling costs at average cost are $1 million higher than selling costs at FIFO.
This lowers net income by $750,000 and income before taxes by $1 million.
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in the long run: a at least one input is variable and one input is fixed. b all inputs have marginal product equal to zero. c all inputs are fixed. d all inputs are variable. e inputs are neither variable nor fixed.
In the long run all inputs are variable. Hence Option D is the answer.
Define variable inputs in production.A resource or production component that may be quickly altered by a company in an effort to alter output volume is known as a variable input. In short-run production, the majority of businesses use a variety of variable inputs, namely labor, raw materials, and energy. Variable factors are those whose employment varies in proportion to output; more are employed when production rises and fewer when production falls.
Labor, energy, and raw materials employed directly in production are examples of typical variable elements. Labor is the most typical example of a variable input. The additional inputs required by a company to increase short-run production are provided by a variable input. The capacity constraint in production, on the other hand, is provided by a fixed input, such as capital.
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nformation regarding the defined benefit pension plan of certainty services included the following for 2021 ($ in millions): plan assets, january 1$70 plan assets, december 31 105 retiree benefits paid (end of year) 17 employer contributions to the pension plan (end of year) 42 what was the actual return on plan assets for 2021?
The actual return on plan assets for 2021 will be $10 million
We know that,
Actual return can be found using the formula:
Beginning balance + actual return + contributions − retiree benefits paid = ending balance
($70) + (AR) + ($42) - ($17) = ($105) (in millions)
simplifying the equation,
70 + Ar + 42 - 17 = 105
112 - 17 + AR = 105
95 + AR = 105
AR = 105 - 95
AR = 10
Thus, The actual return on plan assets for 2021 will be $10 million
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a manufacturing defect is one which: group of answer choices none of the other choices are correct occured during the manufacturing stage and for which the consumer will be compensated ocurred after the manufacturing stage and for which the consumer will not be compensated ocurred after the manufacturing stage and for which the consumer will be compensated ocurred during the manufacturing stage and for which the consumer will not be compensated
A manufacturing defect is one that occurs during the manufacturing process and for which the consumer will receive compensation.
Stage of production.
Any of the following stages of a product's production: I manufacturing/synthesis of the applicable Compound or Compounds' Bulk Chemical Form, (ii) formulation, and (iii) packaging of the Finished Dosage Form
Manufacturing is the process of creating a product from raw materials. This is accomplished through the use of human labor, machinery and/or other tools, and, in some cases, a biological or chemical process.
Manufacturing can be done on a large scale, or it can make the parts that are assembled to make automobiles, airplanes, household appliances, and other items.
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6. tech university has more than 10,000 students enrolling in courses each term. the management would like to develop a balanced scorecard to assess performance. assume students are the customers. (11.5) a) provide two financial measures tech university can use on its balanced scorecard. b) provide two internal business process measures tech university can use on its balanced scorecard.
Financial metrics (a) Return on Assets (ROA): To calculate the ROA, the institution divides the annualized investment in assets by the income received from student fees. Under the balance card strategy.
to deliver the precise performance that was anticipated at the time of strategy selection and to give each one of them a focus for its objectives and appropriate measures. A financial ratio known as return on assets (ROA) measures a company's profitability in relation to its total assets.
ROA can be used by corporate management, analysts, and investors to assess how effectively a company uses its resources to make a profit. Management, analysts, and investors can use ROA to assess how effectively a company uses its resources to make a profit.
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costs of $5,000 were incurred to acquire goods and make them ready for sale. the goods were shipped to the buyer (fob shipping point) for a cost of $200. additional necessary costs of $400 were incurred to acquire the goods. no other incentives or discounts were available. compute the buyer's total cost of merchandise inventory.
The entire cost of the inventory of goods is $5,600.
Obtain the combined value of the starting and ending inventories as well as the cost of products sold. Make a subtraction between the starting and finishing inventories. The difference between the ending and starting inventory is the cost of goods sold.
The cost of finished items that a retailer or wholesaler has on hand to sell to its clients during a specific accounting period is known as merchandise inventory.
The sum of all expenses incurred up until the point at which the products are purchased by the Buyer will be his entire cost of merchandise inventory.
Consequently, in this scenario, the total cost of the inventory of goods will be
= $5,000 + $200 + $400
= $5,600
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18. sardi company estimates its 2015 tax expense to be $80,000. it makes a cash payment of $20,000 to the tax authorities on december 31, 2015. how should this transaction be recorded by sardi? debit tax expense $80,000; credit cash $60,000; credit taxes payable $20,000 debit tax expense $80,000; credit cash $20,000; credit taxes payable $60,000 debit tax expense $80,000; credit cash $20,000 debit tax expense $80,000; credit cash $20,000; credit accounts payable $60,000
Debit tax expense $80000 credit cash $20000, credit taxes payable $60000
tax expense estimated by the company in the year 2015 is $80000
Cash payment to the tax authorities on December 31, 2015, = $20000
So the balance tax to be paid is equal to 80000 - 20000 = 60000
Hence initially the company need to debt tax expense $80000
Then the credit cash is $80000
The provision to be made credit taxes payable $60000
Hence Debit taxes paid ($60,000), credit cash ($2,000), and credit tax expense $80000
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in 2022, wilma (who files as a head of household) reported regular taxable income of $150,000. she itemized her deductions, deducting $10,000 in charitable contributions and $2,000 in state income taxes. what is wilma's alternative minimum taxable income?
According to the given information, Wilma's alternative minimum taxable income is $152,000.
Total alternative minimum taxable income = Regular taxable income +
State tax income + Exemptions
There are no exemption claims in this question.
Regular taxable income =$150,000 and State tax income = $2,000
So, Wilma's alternative minimum taxable income = $150,000 + $2,000
= $152,000
Taxable income is the portion of your gross income that is used to determine your tax liability for a specific tax year. In general, it may be defined as adjusted gross income (AGI) less permitted standard or itemized deductions. Along with investment income and numerous unearned income streams, taxable income includes wages, salaries, bonuses, and tips.Earned income and unearned income both qualify as taxable income. Taxable unearned income includes forgiven debts, government benefits (such unemployment and disability payments), strike benefits, and lottery winnings. Taxable income also includes dividend and interest income, as well as revenues from the sale of valued assets during the year.Learn more about Taxable income, here
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a manager walks around the kitchen every hour to answer questions and to see if staff members are following procedures. this is an example of which step in active managerial control?
One of the main responsibilities of organizational executives is managerial control. The managers and executives of an organization use it to establish performance standards, evaluate performance in light of those standards, and take any necessary remedial action.
What Does Active managemental control mean?In order to exert control over the risk factors for foodborne illnesses, industry management must actively include certain activities or procedures into how their company is run. Through a constant system of monitoring and verification, it embodies a preventive rather than a reactive approach to food safety.Industry can utilize a variety of techniques to give active managerial control over risk variables. The following are possible components of an efficient food safety management system:Certified food safety managers who have demonstrated their knowledge of the necessary material by completing a test that is a component of an accredited programStandard operating procedures (SOPs) for carrying out crucial operational processes, including cooling, during a food preparation processRecipe cards that outline the precise procedures for creating a food item as well as the key parameters for food safety, like the final cooking temperatures that must be watched and confirmedPurchase requirementsDesign and upkeep of equipment and facilitiesMonitoring techniques.To Learn more About managerial control refer to:
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a limitation of 1,550 machine-hours per week prevents golden leaf manufacturing company from meeting the sales demands for its products. the product information is as follows: r1 r2 r3 r4 unit selling price $450 $300 $175 $300 unit variable costs (300) (125) (100) (150) unit contribution margin $150 $175 $75 $150 machine-hours per unit 10 10 10 15 assuming demand for each product is as follows: r1 50 units; r2 80 units; r3 25 units; and r4 10 units, what is the best short-run profit maximizing strategy?
The best short-run profit maximizing strategy is $23,450.
A monopolistically competitive company optimizes profits or minimizes losses in the short run by producing the amount where marginal revenue equals marginal cost. The company will make an economic profit if the average total cost is lower than the market price.
How is short-run profit determined?
Profits from the sale of an asset that a company has owned for less than a year are referred to as short-term profits. By deducting the price, you paid for an asset at the beginning of the year from the sale price you got for the item, you may figure out your short-term gains. Four important elements can contribute to profitability. Costs are coming down, turnover is going up, production is going up, and efficiency is going up.
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Josie is a teenage girl who wants to start a jewelry-making business. Her target market is females, ages 10-14. What price should she charge per necklace that she sells?.
Since his target market is youngsters, Josie's target audience is females between the ages of 10 and 14.
The definition of a target market is A company's target market is a portion of the market that is open to it. Marketing efforts and resources are frequently concentrated on the target market because no organization has unlimited marketing resources or money for advertising.
2. Josie should charge between one and ten dollars for each necklace target market considering that her target market consists of ladies between the ages of 10 and 14.
3. Because the focus group was set up to obtain opinions from a target market, the results from the focus group are descriptive rather than quantifiable, which means that the focus group is producing qualitative data.
4. A small boutique's inventory was chosen using quantitative data from an online article on European fashion trends.
To categorise data, choose one of the four broad categories.
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multiple choice question company a sold 200,000 units. selling price is $7 per unit, contribution margin is $4 per unit, and the fixed expenses total $632,000. company a's profit (loss) is blank . multiple choice question. ($32,000) $18,000 $168,000 $768,000
A company with multiple choice questions sold 200,000 units. $7 is the selling price, $4 is the contribution margin, and $632,000 is the fixed expense total. Profit (loss) for company A is left blank. query with several options. ($32,000) $18,000 $168,000 $768,000
Unit sales goal is 6,000 units fixed expense.
The sales price less the variable cost per unit is what is referred to as the contributing margin company. The breakeven point is also known as the point at which expenses are equal to revenues. The equation is given by Contributing margin = 36,000/4000 and Breakeven= Fixed cost/Contributing margin 4,000.
Target unit sales equal (1800+3600)/9 Contributing margin = $9 Target unit sales equal (profit target+fixed cost)/contributing
Unit sales goal is 6,000 units company.
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if a stock has a beta greater than 1.0, then its expected return a. will be 0. b. is greater than the market portfolio. c. is the same as the market portfolio. d. is less than the market portfolio.
(b) Greater than the market portfolio.
This is because in a market, beta greater than 1.0 will tend to produce above-average returns - but will also produce larger losses in a down market.
What is the portfolio ?
Portfolio is the collection of wide rages of assets that are owned by investor. the Portfolio collection includes financial investments like stocks, bonds, commodities, cash, and cash equivalents, including closed-end funds and exchange traded funds (ETFs). People generally believe that stocks, bonds, and cash comprise the core of a Portfolio.
What are the components of a Portfolio?
Components of a Portfolio
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when most workers are classified as not being in the labor force, when in reality they are actively searching for work, then the unemployment rate will be
In a case whereby most workers are classified as not being in the labor force, and in reality they are actively searching for work, then the unemployment rate will be Neither understated nor overstated .
What is an unemployment?An unemployment can be described as the term that is been used in referring to the situation whereby someone that is employable and fit with the necessary skill can not find job in a particular economy.
It should be noted that the case that is been described in the question fall under the categories of Neither understated nor overstated because they were still looking for a job.
Therefore, the second option is correct.
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Check the missing options:
Overstated Neither understated nor overstated Either understated or overstated Understated
the fixed cost in manufacturing a single led monitor is $40 and the variable cost is $12. if the company expects to manufacture 5,000 monitors, the total costs would be
last year a country had exports of $100 billion, imports of $70 billion, and purchased $60 billion worth of foreign assets. what was the value of domestic assets purchased by foreigners? a. $30 billion b. $40 billion c. $10 billion d. $70 billion
The value of domestic assets purchased by foreigners is $10 billion.
Domestic property means flora, assets and equipment of a home Subsidiary. home belongings method any acquired property owned through a home seller which aren't difficulty to a overseas Governmental Authority and concerning which no Consent of a overseas Governmental Authority is required pursuant to this agreement.
An asset is any resource or proper used to generate cash waft, lessen prices, or offer future monetary advantages for an character, government, or enterprise. property comprise financial fee and can benefit a business enterprise's operations, boom the price of a business, or improve an individual's net worth.
An asset is an entity from which the monetary owner can derive a gain or collection of blessings in future accounting intervals through preserving or the use of the entity over a time period, or from which the monetary owner has derived a benefit in past intervals and continues to be receiving a gain within the contemporary duration.
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the information gap that international investors face is further complicated by the differences in blank conventions, which makes the analysis of cross-border investments opportunities challenging. multiple choice question. accounting exchange rate borrowing segmenting
The information gap that international investors face is further complicated by the differences in exchange rate conventions, which makes the analysis of cross-border investment opportunities challenging.
Contemporary worldwide change fees are decided by using a controlled floating change rate.
A controlled floating change price method that each currency's value is tormented by the economic movements of its government or significant bank.
The change charge is the rate of a rustic's money on the subject of another country's money.
An alternate fee is “constant” when nations use gold or every other agreed-upon popular, and each forex is worth a selected measure of the metallic or other trendy.
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maribel just took a job with a recycling company. her job is to search for potential customers that need to get rid of their recyclable materials or those customers who wish to buy recycled materials for processing. maribel's job fits into the first step of the personal-selling process, that of
Maribel's job fits into the first step of the personal selling process, which is that of: C. prospecting.
What is personal selling?Personal selling can be defined as a type of sales technique which typically involves selling a good (product) directly to a buyer, especially by establishing a face-to-face system of communication with the person.
This ultimately implies that, personal selling requires that a sales representative (sales rep) would physically meet up with the buyers in order to facilitate the completion of a business transaction.
In conclusion, a sales representative (sales rep) whose job is to search for potential customers that wishes to get rid of their products is referred to as prospecting.
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Complete Question:
Maribel just took a job with a recycling company. Her job is to search for potential customers that need to get rid of their recyclable materials or those customers who wish to buy recycled materials for processing. Maribel's job fits into the first step of the personal selling process, that of Multiple Choice
preapproach.
advertising.
prospecting.
sales promotion.
gaining commitment.
an interest rate of 1% per month is the same as: a) nominal 3% per quarter compounded monthly. b) effective 12.683% per year compounded monthly. c) nominal 12% per year compounded monthly. d) all of the above.
High street banks establish interest rates that are influenced by factors other than the Bank Rate. Other factors, such as the possibility that a loan won't be repaid, are taken into account when making loans. The bank will charge a higher rate the lender believes the risk to be larger.
Effective annual compound interest of 12.683% monthly.
interest rate equals 1% monthly
To convert to effective per year, use the formula
[(1+1/100)12 - 1].100\s
= [(1.01)¹² - 1] 100\s
= (1.1268 - 1) (1.1268 - 1) 100\s
= 0.1268 × 100\s
= 12.68%
Therefore, the annual percentage rate of interest, compounded each month, is 12.68%. The length of the loan or mortgage that you intend to take out may also be a factor. Our interactive graphic allows you to view the historical interest rates for various financial products.
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Where would you measure angles?
A) Driveline components
B) Bolt
C) Fasteners
D) All of the above
Driveline components (option A) are where I would measure angles.
What is angle measurement?The amount of rotation from point A to point B is described as an angle measurement. It is important to mention that the if the rotation is carried in a clockwise direction, then such an angle is called a positive angle. If the rotation is carried out in the anticlockwise direction. Then such an angle is called a negative angle.
Driveline components are described as the various components in a vehicle that allows the wheels to rotate by transferring power to the wheels from the transmission. Angles are measured in a driveline and the angle is kept within one degree with respect to the other components.
It can be concluded that driveline components (option A) are where I would measure angles.
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g identify which offering process is typically used for treasury debt securities? group of answer choices a. brokered b. competitive c. direct listing d. negotiated
Competitive (Auction) is a government-identified offering method that is commonly utilized for treasury debt securities.
What are treasury debt securities?United States Treasury securities, often known as Treasuries or Treasury, are government debt instruments issued by the United States Department of Treasury to fund government expenditure rather than taxation.
Treasury bills, Treasury notes, Treasury bonds, and Treasury Inflation-Protected Securities are the four forms of marketable Treasury securities. The government auctions off these securities through the Federal Reserve Bank of New York, after which they can be sold in secondary markets.
Treasury securities are backed by the full confidence and credit of the United States, which implies that the government guarantees to repay them using any legally possible methods. Despite the fact that the United States is a sovereign authority with no recourse, its track record of repayment has earned Treasury securities a reputation as one of the world's lowest-risk investments. Treasuries have a unique niche in the financial system because of their low risk, where they are utilized as cash equivalents by institutions, businesses, and affluent investors.
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what are the parameters affecting prices european and american calls and puts. how do the prices change when one of the parameters changes with all the others remaining the same?
The price of the underlying securities, time, and volatility are three varying factors that options traders must contend with in order to determine the pricing.
What factors determine the call and put prices?Choose to dismiss the help pop-up If the strike price of a call option is higher than the market value of the underlying securities, the option is out of the money. If the strike price of a put option is less than the market value of the underlying securities, the option is out of the money. Whether an option has inherent value depends on the strike price.American-style options are more valuable than the constrained European options since investors are free to exercise their options at any time during the contract's lifespan. The chance to exercise early does come with an additional premium or cost, though.Like the majority of other financial assets, the pricing of options are affected by current interest rates changes. As interest rates fluctuate, call option and put option premiums are affected in opposite ways: calls gain from rising rates while puts lose value.To learn more about Call and Put prices refer to:
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what is the price today (in dollars and cents) of a stock whose dividend per share is currently $1.80 and who expects to pay this same dividend per share at the end of each future year forever? that is, the assumption is that the current dividend per share will never change. the stock's required rate of return is 7.25%.
The current price of the stock would be $24.82
What is stock?
A stock, usually referred to as equity, is a type of investment that denotes ownership in a portion of the issuing company. Shares, also known as units of stock, entitle its owners to a share of the company's assets and income in proportion to the number of shares they possess.
Most individual investors' portfolios are built on stocks, which are mostly bought and sold on stock exchanges. Government standards designed to shield investors from dishonest tactics must be followed during stock trades. In order to raise money to run their operations, corporations issue stock, and the holder of that shares, known as a shareholder, may be entitled to some of the company's assets and earnings.
Calculate the price today as follows:
Price today = dividend / Required rate of return
Price today = $1.80 / 7.25%
Price today = $24.82
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when preparing the statement of cash flows using the indirect method, one of the purposes of adjusting net income for changes to certain balance sheet accounts is to
One of the purposes of adjusting net income for changes to certain balance sheet accounts is to convert the net income to cash.
What is statement of cash flows and what is the purpose of adjusting net income ?A cash flow statement is a financial statement that provides aggregate data of all cash in flows.Here in the question is asked one of the purpose of adjusting net income for changes to certain balance sheet accounts.Net income is the net earnings which is calculates as sales minus cost of goods, and other operating expenses.Hence when preparing the statement of cash flows using the indirect method, one of the purposes of adjusting net income for changes to certain balance sheet accounts is to convert the net income to cash.To know more about net income visit:
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the following financial information is from cook company: accounts payable$ 55,000 land90,000 inventory10,500 accounts receivable7,500 equipment8,000 deferred revenue58,500 short-term investments20,000 notes receivable (due in 8 months)45,500 interest payable2,000 patents75,000 what is the amount of intangible assets assuming the accounts above reflect normal activity? multiple choice $120,500. $75,000. $95,000.
The correct answer is: $173,000
This answer is in fact, the calculation to determine the amount of long term assets (which is basically the investment of a company that is going to benefit it in long run or future in many years) after by using the formula of :
Long-term assets =Land +Equipment + Patents
By plugging values in the formula, Long-term assets =$90,000 + $8,000 + $75,000. So, Long-term assets =$173,000. Therefore the number of long-term assets will be $173,000.
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which of the following is not insured by the fdic? question 6 options: retirement account. savings account. certificate of deposit. money market savings account. g
The option that is known to not be insured by the FDIC would be the certificate of deposit.
What is the FDIC?This is the term that is sued to refer to the agency that has to do with the regulation that is done in the financial market in the United States of America.
They are the ones that would help to raise the stability and the confidence that the people of the United States would need to have in these monetary systems.
The FDIC is known to provide all that we have here but the certificate of deposit.
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you have one type of nut that sells for $4.60/lb and another type of nut that sells for $8.70/lb. you would like to have 32.8 lbs of a nut mixture that sells for $8.10/lb. how much of each nut will you need to obtain the desired mixture?
28 lbs of the expensive $8.70/lbs nuts and 4.8 lbs of the cheaper $2.50/lbs is required in order to obtain 32.8 lbs of a nut mixture that sells for $8.10/lbs i.e., the desired mixture.
What are linear equations ?If a variable consistently exhibits its maximum power, an equation is considered to be linear. Another name given to linear equation is a one-degree equation. The typical form of a linear equation with one variable is Ax + B = 0. In this case, the variables x and A are variables while the variable B is a constant. The traditional form applies to a linear equation with two variables is Ax + By = C. In this case, we have the variables x and y, the coefficients A and B, and the constant C.
Let C be the cheaper nut that costs $4.60/lbs and E be the expensive nut that costs $8.70 :
4.6C + 8.7E = 32.8(8.10)
4.6(32.8-E) + 8.7E = 265.68
150.88- 4.6E + 8.7E = 265.68
4.1E = 265.68 -150.88
E = 114.8/4.1
E = 28 lbs
C = 32.8 - 28
C = 4.8 lbs
Therefore, the required quantity of the expensive $8.70/lbs nuts is 28 lbs and cheaper $2.50/lbs nuts is 4.8 lbs.
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