Suppose a shoe factory produces both low-grade and high-grade shoes. The factory produces at least twice as many low-grade as high-grade shoes. The maximum possible production is 500 pairs of shoes. A dealer calls for delivery of at least 100 high-grade pairs of shoes per day. Suppose the operation makes a profit of Birr 2.00 per a pair of shoes on high-grade shoes and Birr 1.00 per pairs of shoes on low-grade shoes. How many pairs of shoes of each type should be produced for maximum profit?

Answers

Answer 1

Answer:

The factory should produce 166 pairs of high-grade shoes and 364 pairs of low-grade shoes for maximum profit

Step-by-step explanation:

The given parameters for the shoe production are;

The number of low grade shoes the factory produces ≥ 2 × The number of high-grade shoes produced by the factory

The maximum number of shoes the factory can produce = 500 pairs of shoes

The number of high-grade shoes the dealer calls for daily ≥ 100 pairs

The profit made per pair of high-grade shoed = Birr 2.00

The profit made per of low-grade shoes = Birr 1.00

Let 'H', represent the number of high grade shoes the factory produces and let 'L' represent he number of low-grade shoes the factory produces, we have;

L ≥ 2·H...(1)

L + H ≤ 500...(2)

H ≥ 100...(3)

Total profit, P = 2·H + L

From inequalities (1) and (2), we have;

3·H ≤ 500

H ≤ 500/3 ≈ 166

The maximum number of high-grade shoes that can be produced, H ≤ 166

Therefore, for maximum profit, the factory should produce the maximum number of high-grade shoe pairs, H = 166 pairs

The number of pairs of low grade shoes the factory should produce, L = 500 - 166 = 334 pairs

The maximum profit, P = 2 × 166 + 1 × 364 = 696


Related Questions

name the corresponding angle to angle 3 ! Please help:) will mark b if correct!!

Answers

Answer:

Angle 1

Step-by-step explanation:

corresponding angles are angles that are congruent and on the same side if that makes sense

Look at image for reference

Percents! Please answer!!


Answers

Answer:

39%

Step-by-step explanation:

83-last price

83 last price

100 x ?

100 * last price = 83 . x

x= 39

Evaluate the expression.

I -3 I

Answers

Answer: 3

Step-by-step explanation:

Answer:

the answer is 3

Step-by-step explanation:

Gina wants to go to the water park with her friends. They have a total of w dollars to buy 5 tickets. Each ticket costs 15 dollars. (write an equation)

Answers

Answer:

5 * w = 15

w= 3

Hope this helps!

Answer:

5•15=w

(Is this subtracting from the total?)

was there more to this question that you didn’t include?

PLZ HURRY

What is the interval used in the graph shown below?
A.4
B.9
C.10
D.11

Answers

Answer:

10

Step-by-step explanation:

I'm stuck on that question too but I would say 10

Answer:

The answer is 10 :))

Step-by-step explanation:

Bob wants to attend a four-year college that has an annual tuition of $10,100. Bob has saved $11,300 for college. Bob is going to use a student loan to pay for the rest. How much does he need to borrow?

Answers

Answer:

29,100

Step-by-step Explanation

Multiply the annual tuition by 4. then subtract that by what he saved

PLEASE HELPP
it isn't 62 I already tried it

Answers

Answer:

112°

Step-by-step explanation:

50 + 62 = 112

Someone please help (urgent)

Answers

Answer:

6.5 cm

Step-by-step explanation:

0.5/0.25 = 2

13/2 = 6.5

6.5 cm is the answer

I dont get this pls help i need it ASAP

Answers

They are all divisible by 8, I hope that’s what your asking.

A grocery store stocks different flavors of peppermint sticks in 15 jars. The number of sticks in each jar varies from 0 to 49. Suppose you are creating a histogram to represent the situation. A. Which axis should be labeledas the num ber of jars for each flavor? B. What are possible intervals that COULD be appropriate for the histogram?

Answers

Answer:

The correct answers are:

A. The Vertical axis should be labelled as the Number of Jars for Each Flavour

B. an interval of 7 could be appropriate

Step-by-step explanation:

A. The number of jars for each flavour is the dependent variable against the flavour type, which is the independent variable, hence it is displayed on the vertical axis to show the height of the bars.

B. since the number of sticks in a jar vary from 0 to 49, dividing 49 by 7 will give 7 without a remainder, hence, an interval of 7 will be ideal for the plot, nd a total of 7 bars will be plotted. Intervals are: 0-7, 8-14, 15-21, 22-28, 29-35, 36-42, 43-49.

India has $100 and saves $18. each month China has $60 and saves 20 each month when will the girls have the same amount of money

Answers

After 20 months is the correct answer!Double-check:$18 x 20 = $360$360 + $100 = $460$20 x 20 = $400$400 + $60 = $460Please let me know if I am wrong.The names tho

What is the measure of abc?

Answers

Answer:

B. 260°

Step-by-step explanation:

Inscribed angle is half the measure of the intercepted arc

mABC = 360° - mAC = 360° - 2*m∠ABC = 360° - 2(50°) = 260°

Correct choice is B

(1.) 4(x +2)=28

(2.) 2(x+4)=28


what dose x repsent​

Answers

1. 4 (x+2)=28

Simplifying

4(x + 2) = 28

Reorder the terms:

4(2 + x) = 28

(2 * 4 + x * 4) = 28

(8 + 4x) = 28

Solving

8 + 4x = 28

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 4x = 28 + -8

Combine like terms: 8 + -8 = 0

0 + 4x = 28 + -8

4x = 28 + -8

Combine like terms: 28 + -8 = 20

4x = 20

Divide each side by '4'.

x = 5

Simplifying

x = 5

2. 2 (x+4)=28

Simplifying

2(x + 4) = 28

Reorder the terms:

2(4 + x) = 28

(4 * 2 + x * 2) = 28

(8 + 2x) = 28

Solving

8 + 2x = 28

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 2x = 28 + -8

Combine like terms: 8 + -8 = 0

0 + 2x = 28 + -8

2x = 28 + -8

Combine like terms: 28 + -8 = 20

2x = 20

Divide each side by '2'.

x = 10

Simplifying

x = 10

_______ :21=5:7


10:100=_______:200



12:28=_________:7


48:_________=8:9


36:75=12:________


56:120=_______:8


2:4=________:2


45:________=15:20



_______:65=9:13


180:210=_______:35



63:_______=7:8



48:72=4:_______



________:100=6:10



36:108=6:________



3:________=1:3




_________:180=8:20



81:126=9:_______



________:33=2:3

Answers

Answer:

Step-by-step explanation:

1) 10:18=5:9

2) 15:21=5:7

3) 10:100=20:200

4) 12:28=3:7

5) 48:54=8:9

6) 36:75=12:25

7) 56:120=3.733:8

8) 18:24=6:8

9) 2:4=1:2

10) 45:60=15:20

11) 45:65=9:13

12) 180:210=30:35

13) 63:72=7:8

14) 48:72=4:6

15) 60:100=6:10

16) 36:108=6:18

17) 3:9=1:3

18) 72:180=8:20

19) 81:126=9:14

20) 22:33=2:3

Answer:

1. 15 :21=5:7

2. 10:100=20:200

3. 12:28=3:7

4. 48:54=8:9

5. 36:75=12:25

6. 56:120=3.73..:8

7. 2:4=1:2

8. 45:60=15:20

9. 45:65=9:13

10. 180:210=30:35

11. 63:72=7:8

12. 48:72=4:6

13. 60:100=6:10

14. 36:108=6:18

15. 3:9=1:3

16. 72:180=8:20

17. 81:126=9:14

18. 22:33=2:3

help please! find m∠bcf

Answers

Answer:

BCF = 140°

See attached image.

Answer:

m<BCF=140°

Step-by-step explanation:

first find m<BCD

m<BCD=180-50-90

m<BCD=40°.

to find m<BCF, we can do 180-m<BCD, since m<BCD and m<BCF add up to 180° (they form a straight angle)

180-m<BCD=m<BCF

180-40=m<BCF

m<BCF=140°

a. 45:75
Simply the ratio

Answers

Answer:3:5Hope this helps!!

3/5

first we find gcf for both numinator and dinominator do the gcf is 15

next we divide both by15

then 45÷15=3 and 75 ÷15=5

so the answer is 3/5 or 3:5

Yall please help meee

Answers

Answer:

12n + 2

Step-by-step explanation:

[tex]w(n) = un + 2[/tex]

[tex]w(3n) = 4(3n) + 2[/tex]

[tex]ans = 12n + 2[/tex]

hope it helps you

have a great day!!

PLEASE HELP I NEED HELP​

Answers

it is C because x dont reapeat

What is the value of x?

Answers

Answer:

the value of x=69 ft approx.

Answer:

[tex]\Large \boxed{\sf 69.02 \ ft}[/tex]

Step-by-step explanation:

Solve for w  using Pythagorean Theorem

[tex]\displaystyle w=\sqrt{77^2-22^2} =33\sqrt{5}[/tex]

Solve for z  using Pythagorean Theorem

[tex]\displaystyle z=\sqrt{(87.5)^2-(33\sqrt{5} )^2} = 47.02[/tex]

Find value of x

[tex]x=VY+YK[/tex]

[tex]22+47.02=69.02[/tex]

Task 9
Here is an equation:
15(x-3)/5 = 3(2x-3)

Solve the equation by using the distributive property first.

Then solve without using the distributive property and

check your solution.

Answers

Answer:

x=0

Step-by-step explanation:

ima break it apart so it is easier to understand, going from left to right.

15(x-3)/5 you will distribute the 15 to the x and the -3

15x-45/5 you will divide 5 to both the 15x and the 45

3x-9 it will now be combined with the right side

now on the right side:

3(2x-3) you will distribute the 3 to the 2x and -3

6x-9 will now be combined with the left side

combining the left and right.

3x-9=6x-9 combine both 'x' es and constants

3x-6x=9-9 solve

-3x=0 divide

-3x=0 /-3 (all of it will be divided by 3 cuz what you do to one side, you gotta do to the other)

x=0

without distributive property

15(x-3)/5=3(2x-3) remove the parenthesis from the left side

3(x-3)=3(2x-3) distribute the 3 through the parenthesis on both sides

3x-9=6x-9 the rest is the same as in the combined section up above.

i hope this helps

The value of the equation 15 ( x - 3 ) / 5 = 3 ( 2x - 3 ) is x = 0

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now , the value of A is given by

15 ( x - 3 ) / 5 = 3 ( 2x - 3 )

By using the distributive property , we get

On opening the bracket , we get

( 15x - 45 ) / 5 = 6x - 9

Divide by 5 on LHS , we get

3x - 9 = 6x - 9

Subtracting 6x on both sides of the equation , we get

-3x - 9 = - 9

Adding 9 on both sides , we get

-3x = 0

x = 0

Now , without using distributive property , we get

The equation is

15 ( x - 3 ) / 5 = 3 ( 2x - 3 )

Divide by 5 on both sides , we get

3 ( x - 3 ) = 3 ( 2x - 3 )

Divide by 3 on both sides , we get

x - 3 = 2x - 3

Adding 3 on both sides of the equation , we get

x = 2x

Subtracting x on both sides , we get

x = 0

Hence , The value of the equation 15 ( x - 3 ) / 5 = 3 ( 2x - 3 ) is x = 0

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

44.99 with a 9.25 sales tax, what is the total price?

Answers

ANSWER:
total cost: $49.21

STEP BY STEP:
9.25 percent sales take in this case is $4.16, so just add that to total and get $49.11

Hope this helps!

The point M(6,-9) is reflected over the x-axis. What are the coordinates of the resulting point, M’?

Answers

Answer:

(6 , 9)

Step-by-step explanation:


In which quadrant does the point with c ordinate (4, -3) lie?

Answers

Answer:

4

Step-by-step explanation:

hope the diagram helps haha

Which graph best show a train pulling into a station to drop off its passengers?

Answers

Answer:

The answer is B

Because the train will stop and speed decreases with increasing time

Answer: B

Explanation:

i cant see the last graph but im pretty sure its B because you are slowing down in order for the train to come to a stop

Find the y-intercept of the graph.

Answers

Answer:  The y-intercept would be -2

Step-by-step explanation:  To find a y-intercept you just need to find the point at which the line crosses the y axis (which is the vertical one.)  We know its -2 also because of the unit amount of the graph itself.  The 5 at the top of the y axis is at the 5th box which means that each vertical unit represents 1.  This is how I know my answer is correct.  I hope this answer has been of use to you and if you have further questions please do not hesitate to reach out :)

Miguel is 46 years old .He is 4 years older than thrice his son's age. Find the age of his son.​

Answers

Answer:

42

Step-by-step explanation:

46-4=42

Answer:

son is 14

Step-by-step explanation:

s = son's age

46 = 4 + 3s

42 = 3s

s = 14

Find the distance between (5, 9) & (-7, -7). Round to the nearest tenth.

Answers

Answer:

20

Step-by-step explanation:

A shop is having a sale all items are reduced work out the sale price of an item normally priced at £60

Answers

Question:

A shop is having a sales all items are reduced by 25%. Work out the sale price of an item normally priced at £60?

Answer:

The new price is £45

Step-by-step explanation:

Given

[tex]Sales\ price = \pounds 60[/tex]

[tex]Rate = 25\%[/tex]

First, calculate the reduction

[tex]Reduction = Rate * Sales\ price[/tex]

[tex]Reduction = 25\% * \pounds 60[/tex]

[tex]Reduction = \pounds 15[/tex]

The new price is:

[tex]New = Sales\ price - Reduction[/tex]

[tex]New = \pounds 60 - \pounds 15[/tex]

[tex]New = \pounds 45[/tex]

A population of 430 animals increases at an annual rate of 19%. Find the number of animals present after 5 years. Round your answer to the nearest whole number.

Answers

19% of 430 is 81.7.

81.7 x 5 = 408.5

408.5 + 430 = 838.5

The population of animals present after 5 years is 838.5, but rounded to the nearest whole number would make it 839.

Answer:

1026

Step-by-step explanation:

Initial number = 430Increase rate = 19% = 1.19 times per year

Number of animals after 5 years:

430*1.19^5 = 1026

Sarah took the advertising deparſment from her company on a round trip to meet with a potential client. Including Sarah a total of 11 people took the trip. She was
able to purchase coach tickets for $240 and first class tickets for $1100. She used her total budget for airfare for the trip, which was $6080. How many first class
tickets did she buy? How many coach tickets did she buy?

Answers

Answer:

Sarah bought 7 coach tickets and 4 first class tickets.

Step-by-step explanation:

From the information provided, you can write the following equations:

x+y=11 (1)

240x+1100y=6080 (2), where:

x is the number of coach tickets

y is the number of first class tickets

In order to find the value of x and y, first you have to solve for x in (1):

x=11-y (3)

Now, you have to replace (3) in (2) and solve for y:

240(11-y)+1100y=6080

2640-240y+1100y=6080

860y=6080-2640

860y=3440

y=3440/860

y=4

Finally, you can replace the value of y in (3) to find the value of x:

x=11-y

x=11-4

x=7

According to this, the answer is that Sarah bought 7 coach tickets and 4 first class tickets.

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