5. There are two kinds of products (called DA and GA) produced in your company every day. Alsothere are two kinds of materials (denoted by A and B) in need One DA costs one unit of A, one unit of B: one GA costs one unit of A, two units of B. You get $3000 when you sell one DA and $5000 for one GA. The supply of the two materials every day is 12,22. a)What is the maximal profit $ b) How many DA and GA should be produced every day to obtain this maximal profit? Number of DA = Number of GA

Answers

Answer 1

Answer:

a) $56000b) DA = 2, GA = 10

Step-by-step explanation:

Given

DA = A + B ⇒ $3000GA = A + 2B ⇒ $5000Number of A = 12Number of B = 22

We can see from the equations that

GA - DA = B ⇒ $2000 andA = $1000 and B = $2000 in terms of profit

So greater use of unit B brings greater profit. We don't want any unit is left over, so get this equation.

A + B = 12A + 2B = 22

Is the equation set to indicate use of the units A and B

Solving we get

A = 2 and B = 10

It this case all the units are used and profit is maximum

2*$3000 + 10*$5000 = $56000Number of DA = 2Number of GA = 10

Related Questions

PLEASE HELP PLEASE PLEASE

Answers

Answer:

The second one is d. 13

Step-by-step explanation:

Add what you know first. 110+57= 167. Then, subtract what the angle is all together with the answer from what you know. 180-167= 13. X= 13. I'm bad at explaining so I hope that was clear.

The price for video game A is $15 more than the price for video game B. If the total of these two prices is $39, find the price of each game.
and the cost for video game B is $
The cost for video game A is $
(Type integers or decimals.)

Answers

Answer:

Video Game A: $27

Video Game B: $12

Step-by-step explanation:

First, I divide the total in approximately half ($20 and $19). Since the difference between these two numbers is already $1, I only have to make the difference $14. I do this by dividing $14 in half ($7 and $7) and subtracting $7 from $19 and adding $7 to $20. So, video game A costs $27 and video game B costs $12. Also, to check the answer: $27 is $15 more than $12 and $27 + $12 is $39.

It is estimated that 50% of emails are spam emails. Some software has beenapplied to filter these spam emails before they reach your inbox. A certain brandof software claims that it can detect 99% of spam emails, and the probabilityfor a false positive (a non-spam email detected as spam) is 5%.Now if an email is detected as spam, then what is the probability that it isin fact a non-spam email?

Answers

Answer:

P(Non-Spam/Spam Detected) = 5/99

Step-by-step explanation:

To determine the probability that it is in fact a non-spam email, we will employ the use of Bayes Theorem: P(A/B) = (P(B/A) x P(A)) / P(B).

P(Spam) = P(Non-Spam) = 0.5  

P(Spam Detected) = P(Spam) * rate of detection = 0.5 * 0.99

P(Detected/Non-Spam) = P(false positives) = 0.05

Using Bayes Theorem, P(Non-Spam/Spam Detected) = ( P(Spam Detected/Non-Spam) x P(Non-Spam) ) / P(Spam Detected)

= 0.05*0.5 / 0.5*0.99

= 5/99

Using conditional probability, it is found that there is a 0.0481 = 4.81% probability that it is in fact a non-spam email.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

In this problem:

Event A: Email detected as spam.Event B: It is a non-spam email.

The percentages of emails detected as spam are:

99% of 50%(spam emails).5% of 50%(non-spam emails).

Hence:

[tex]P(A) = 0.5(0.99) + 0.5(0.05) = 0.52[/tex]

The probability of an email being detected as spam and not being spam is:

[tex]P(A \cap B) = 0.5(0.05)[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.5(0.05)}{0.52} = 0.0481[/tex]

0.0481 = 4.81% probability that it is in fact a non-spam email.

A similar problem is given at https://brainly.com/question/14398287

Peaches are being sold for $2 per pound.The customer created a model to represent the total cost of peaches bought. If x represents the number of pounds of peaches bought and y represents the total cost of the peaches, which best describes the values of x and y?

Answers

Answer: The values of both x and y will be real numbers greater than or equal to 0

Step-by-step explanation: because pounds and price cannot be a negative amount here. So either you're buying 0 or buying more than 0.

The thing that best describes the values of x and y is that they will be real numbers greater than or equal to 0

What is a Real Number?

This refers to the union of both rational and irrational numbers that can have negative or positive values.

From the given information:

Peaches are being bought and sold

There is no negative value used

The conclusion that can be reached as to the values of x and y is that they contain real numbers greater than or equal to 0

Read more about real numbers here:

https://brainly.com/question/155227

#SPJ6

Write the equation represents the situation?

“Bill has 16 missing math assignments. If he
completes 2 in class and 3 each day how
long will it take him to make up his missing
work?”

Answers

Answer: X= days.        Equation: 16-2-3X=X

Step-by-step explanation:

there is none, it’s pretty straight forward.

But if you want to solve for how many days then it’s, 3 1/2 days

If 1 gallon of paint covers 300 square feet, how many gallons
are needed for a room 30' long x 20' wide x 12' high?

Answers

Answer:

can we be friends

Step-by-step explanation:

80 + (-25) =
integers

Answers

The answer is 55 because 80-25=55.

Adding a negative is the same as subtracting a positive number.

80 + (-25)

80 - 25

= 55

Best of Luck!

35 is what percent of 28?

Answers

Answer:

9.8

Step-by-step explanation:

I checked on google

Answer:

9.8

Step-by-step explanation:

arts and crafts shop has a bolt of crimson velvet 32 M long a customer came in during the morning and bought 120cm of the velvet another customer bought an additional meters during the afternoon how much Crimson velvet does Malik shop have left write the answer in centimeters ​

Answers

Answer:

2760

Step-by-step explanation:

I really don't know I just did 32x120

Write an inequality that represents the missing dimension x
.

The area is less than 42 square meters.


An inequality is .

Answers

*see the figure referred to in the attachment below.

Answer:

x < 14

Step-by-step explanation:

The figure given is a triangle with base (b) = x, and height (h) = 6 m.

We are told that the area is less than 42 m². To write an inequality that represents the base (b) = x, let's find the area of the triangle and create an inequality statement.

Area of ∆ = ½*b*h = ½*x*6

Area = x*3 = (3x) m²

The area is less than 42 m², as stated in the question. Which means, the inequality statement would be:

3x < 42

Divide both sides by 3

3x/3 < 42/3

x < 14

The inequality representing the missing dimension (the base) is x < 14

Identify which line from the graph the following right triangles could lie on.

Answers

Answer:

Step-by-step explanation:

Slope of line A = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                         = [tex]\frac{9}{3}[/tex]

                         = 3

Slope of line B = [tex]\frac{9}{6}[/tex]

                         = [tex]\frac{3}{2}[/tex]

Slope of line C = [tex]\frac{6}{8}[/tex]

                         = [tex]\frac{3}{4}[/tex]

5). Slope of the hypotenuse of the right triangle = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                                                                = [tex]\frac{90}{120}[/tex]

                                                                                = [tex]\frac{3}{4}[/tex]

Since slopes of line C and the hypotenuse are same, right triangle may lie on line C.

6). Slope of the hypotenuse = [tex]\frac{30}{10}[/tex]

                                              = 3

Therefore, this triangle may lie on the line A.

7). Slope of hypotenuse = [tex]\frac{18}{24}[/tex]

                                        = [tex]\frac{3}{4}[/tex]

Given triangle may lie on the line C.

8). Slope of hypotenuse = [tex]\frac{21}{14}[/tex]

                                        = [tex]\frac{3}{2}[/tex]

Given triangle may lie on the line B.

9). Slope of hypotenuse = [tex]\frac{36}{24}[/tex]

                                        = [tex]\frac{3}{2}[/tex]

Given triangle may lie on the line B.

10). Slope of hypotenuse = [tex]\frac{48}{16}[/tex]

                                          = 3

Given triangle may lie on the line A.

Which equation represents the function described by this table?

f(x)=x+7
f(x)=x−7
f(x)=7x
f(x)=−7x

Answers

Answer:

F(x)=x+7  the answer is A

Step-by-step explanation:

You can see the table is adding positive 7 to each number on the X column because -8+7=-1, -2+7=5, 5+7=12, 7+7=14. I PROMISE ITS RIGHT :)

Can anybody please help me out with this problem I would really appreciate it so much . Please and thank you

Answers

"Supplementary" angles add up to 180°.

Opposite angles are supplementary, so . . .

(12x - 4) + (19x - 2)  =  180°

Clear the parentheses:  12x - 4 + 19x - 2 = 180°

Add up all the x's on the left side:  31x - 4 - 2  =  180°

Add up the plain old numbers on the left side:  31x - 6  =  180°

Add  6  to each side:  31x  =  186°

Divide each side by  31 :  x  =  6°

Well !  Now that you know that  x = 6° . . .

Angle  EPC  is  (12x - 4)°

That's  (12·6  -  4)°

Which is  (72 - 4)°

Which is  68°


What is the algebraic expression of the product of
7 and p

Answers

Answer:

7p, 7*p

Step-by-step explanation:

dot is taller than dab but shorter than dee, and dave is taller than don prove: E is the last letter of the name of the tallest person

Answers

Step-by-step explanation:

It starts off by saying Dot is taller than Dab.

Then it says he is shorter the dee.

Then it states that another name dave is taller then don.

We dont necessarily know if dee or dave is the tallest but both of there last names end with E so it proves the question at hand.

Can someone tell me the solutions to this please its urgent​

Answers

The first line is 20
The second line is 18
The 3rd line is 4

Answer:

The first one is 20

The second one is 18

And the last one is 4

A random sample of five Galaxy 8 smartphones is selected from the production line after final assembly, and the result of the weight control measurement is (in grams) 155.1, 154.8, 155.5, 155.3, and 154.6.What are the average weight, its uncertainty (i.e. the standard deviation of the mean), and the fractional uncertainty

Answers

Answer:

a. Mean = 155.1 grams

b. Standard deviation = 0.37

c. Fractional uncertainty = 0.074

Step-by-step explanation:

a. Average weight

This is same as the mean weight;

Mathematically, that would be; sum of the weights/ the number of weights

= (155.1 + 154.8 + 155.5 + 155.3 + 154.6)/5 = 775.3/5 = 155.06 which is approximately 155.1

b. Standard deviation

Mathematically; we calculate that using the formula;

√{(x-mean)^2/(N-1)}

Please check attachment for for the complete breakdown of this

c. Fractional uncertainty

= Standard deviation/number of measurements = 0.37/5 = 0.074

7(-8)-2y=-52





help....

Answers

Answer: Y = -2

Step-by-step explanation:

7(-8) -2y = -52

-56 - 2y = - 52

- 2y = 4

Y = -2

Answer:

Step-by-step explanation:

x = -8 so replace x with -8.

It should be 7(-8) - 2y = -52

Multiply 7 and -8 you get -56

You are left with -56 - 2y = -52

add -56 on both sides to get it on the other side

You will be left with -2y = 4

Divide by -2y on both sides

You'd get y = -2

Your first assignment at El Smello Perfume Co. is to determine the proper setting for filling the bottles. The company wishes to keep profits high by using as little perfume as possible, but a government regulation states that no more than 2.5% of the bottles may contain less than the stated volume on the bottle. If the bottles you are filling are stated to contain 100 mL, what is the minimum volume you should use for filling if the standard deviation in the fill level is /- 1.6 mL. (Hint: assume an infinite number of samples where the CI is x /- ts and t

Answers

Answer:

The answer is "96.864 ml".

Step-by-step explanation:

In this question, the formula of [tex]\bold{CI = X \pm t \times s}[/tex].

( where X is the mean, t is the coefficient, and s is the mean difference error)

As a result, only 2.5% of containers might include less than 100 ml of volume, its trust coefficient could indeed be used in accordance with 95%, which is [tex]t=1.96[/tex].  

And it can take [tex]\pm \ 1.6 \ ml[/tex] to have been the full value the standard infinite:  [tex]\to CI = 100 \pm (1.96 \times 1.6) \\\\[/tex]

         [tex]= 100 \pm (3.136) \\\\[/tex]

Consequently, if the standard error is  [tex]\pm \ 1.6 \ ml[/tex] , a similar amount should be used to fill  

[tex]= 100 - 3.136 \\\\= 96.864 \ \ mL[/tex]

A map is drawn to scale so that a length of 1 inch represents an actual distance of 6 miles. If two
towns are 30 inches apart on the map, what is the actual distance between the two towns?

Answers

The answer is 180.
Just multiply thirty and six.
Hope that helps!

A professional golfer is shopping for a new brand of golf ball. He likes most of the features of one particular brand, but he wants to make sure that the brand has a desirable spin rate (the rate at which the ball spins on its axis after being struck by a golf club). To test the spin rate of this new brand of ball, the golfer hits the brand of ball on 100 five-iron shots, and a computer measures the spin rate for each shot. The computer then produces the following histogram summarizing the 100 spin rates: 2520151050Frequency1010242421115000550060006500700075008000Spin rate (in revolutions per minute) Based on the histogram, find the proportion of spin rates in the sample that are greater than or equal to 7000 revolutions per minute. Write your answer as a decimal, and do not round your answer.

Answers

Please find full question attached

Answer:

6584.4595( to four decimal places)

Explanation:

Please find full explanation attached

x decreased by 7 is 38

Answers

Answer:

45

Step-by-step explanation:

x - 7 = 38

add 7 to both sides to get the variable by itself

x = 45

Which graph shows the solution to the inequality -3x-7 <20?
+
-10
-5
0
ch
5
10
+
-10
-5
0
5
10
A
0
-5
5
5
10
-10
+
5
10
0
-5
-10

Answers

Answer:

20

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

6. Ashley has 1 2/3 yards of fabric. She uses 1 1/2 yards of fabric to make a dress. After Ashley makes her dress, how much fabric does she have left? ​

Answers

She has 1/6 fabric left after she makes her dress.
Steps: You subtract 1 2/3 by 1 1/2 and get 1/6.

Is it TRUE, you can solve a literal equation by isolating the specified variable, or letter

Answers

Yes it is true to literal quay ion by Saul McLeod

When using Newton's Method to find the root of a linear function f(x) = ax + b, a 70, how many iterations of the method are required to find the root at r = R?1 4 2 There is no fixed number. It depends on the intial guess xo.

Answers

Answer:

It depends on the initial guess Xo

Step-by-step explanation:

The number of iterations required to find the root at r = R  depends on the initial guess Xo, this is because when using Newton's method for finding roots, you will need to pick an initial guess and this will be followed by an iterative process which would converge to a solution. The number of roots before the converging will take place depends on the initial guess Xo made

Vivian put $2,300 into an interest-bearing savings account. Her account balance, in dollars, after 6 years can be calculated using the expression shown below. Use the given expression to complete the statements. The quantity that represents Vivian's initial deposit is . The quantity that represents the rate at which the account is increasing is , which means the interest rate is %.

Answers

Answer:

The quantity the represents Vivian's initial deposit is $2,300. The quantity that represents the rate at which the account is increasing is 1.05, which means the interest rate is 5%.

Which numbers are between the numbers represented by Points A and B on the number line? Check all that apply.

Answers

Answer:

c and d?

Step-by-step explanation:

im not sure if thats right but those are the only 2 numbers that i see beetween the number line

Answer:

A, C, D, E

Step-by-step explanation:

-7/10 in decimal form is -0.7 so it would be between -0.2 and -0.8

-9/10 as a decimal is -0.9 so it is too high

-1/2 as a decimal is -0.5 so it is between -0.2 and -0.8

-1/4 as a decimal is -0.25  so it is too high

-2/5 as a decimal is -0.4 so it is between 0.2 and 0.

EDIT: 1/4 is right actually so it's d to.

Height for each toddler at Mrs.orlando daycare

Answers

1=81 centimetres
1=82 centimetres
2=83 centimetres
3=84 centimetres
1=85 centimetres

Answer: 1.5

Step-by-step explanation:

To find the quartiles, let's first find the median by sorting the data points from least to greatest.

81

,

82

,

83

,

83

84

,

84

,

84

,

85

81,82,83,83⋮84,84,84,8581, comma, 82, comma, 83, comma, start color gray, 83, end color gray, \varvdots, rectangle, start color gray, 84, end color gray, comma, 84, comma, 84, comma, 85

The median is the mean of the two middle numbers.

83

+

84

2

=

167

2

=

83.5

2

83+84

=

2

167

=83.5start fraction, start color gray, 83, end color gray, plus, start color gray, 84, end color gray, divided by, 2, end fraction, equals, start fraction, 167, divided by, 2, end fraction, equals, start color #9d38bd, 83, point, 5, end color #9d38bd

The first quartile is the median of the data points to the left of the median.

81

,

82

,

83

,

83

81,82,83,8381, comma, 82, comma, 83, comma, start color gray, 83, end color gray

Q

1

=

82

+

83

2

=

165

2

=

82.5

Q

1

=

2

82+83

=

2

165

=82.5Q, start subscript, 1, end subscript, equals, start fraction, 82, plus, 83, divided by, 2, end fraction, equals, start fraction, 165, divided by, 2, end fraction, equals, start color #ff00af, 82, point, 5, end color #ff00af

The third quartile is the median of the data points to the right of the median.

84

,

84

,

84

,

85

84,84,84,85start color gray, 84, end color gray, comma, 84, comma, 84, comma, 85

Q

3

=

84

+

84

2

=

168

2

=

84

Q

3

=

2

84+84

=

2

168

=84Q, start subscript, 3, end subscript, equals, start fraction, 84, plus, 84, divided by, 2, end fraction, equals, start fraction, 168, divided by, 2, end fraction, equals, start color #6495ed, 84, end color #6495ed

IQR

=

Q

3

Q

1

=

84

82.5

=

1.5

IQR

=Q

3

−Q

1

=84−82.5

=1.5

Subtract. Add to check: 512,724-96,473

Answers

Answer: =512,628,473

Step-by-step explanation:

Answer:

416251

Step-by-step explanation:

I used a calculator

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