1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GREYUIT [131]
3 years ago
8

Suppose a shoe factory produces both low-grade and high-grade shoes. The factory produces at least twice as many low-grade as hi

gh-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?
Mathematics
1 answer:
umka2103 [35]3 years ago
6 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

You might be interested in
Brandon earns a rebate each month on his meals and movie tickets. He earns $0.50 for each movie ticket and $2 for each meal. Las
ElenaW [278]
This is the concept of simultaneous equations; We are required to create the equations modelling the above information.
Suppose the number of movie tickets was x and the number of meal tickets was y.
Therefore;
Total number of tickets was:
x+y=22
Total amount earned was:
0.5x+2y=25
The simultaneous equations representing the information is:
x+y=22
0.5x+2y=25



4 0
3 years ago
I will venmo if someone can please help me
shutvik [7]

Answer: 14.967

Step-by-step explanation:

Use Pythagorean Theorem to find the missing length.  

a² + b² = c²        

x² + 10² = 18²      

x² + 100 = 324         [Subtract 100 from both side]  

          x²= 224        

      √x² = √224     [solve the square root from both sides]

        x   ≈  14.967

4 0
3 years ago
Please someone help, I know its kind of a lot, but I need these answers fast pls.
Dmitry_Shevchenko [17]

Answer:

Im not sure

Step-by-step explanation:

GOOD LOOK ON YOUR TEST HE DISCONN-ECTED

5 0
3 years ago
2x+4y=-12 and -4x-2y=-12 what is the solution
DochEvi [55]

Answer:

The answer is that x = 6 and y = -6

Step-by-step explanation:

In order to find these values, we can use elimination. To do so, we multiply the first equation by 2 and then add the equations together.

4x + 8y = -24

-4x - 2y = -12

------------------

6y = -36

y = -6

Now that we have this value, we can plug the value into one of the originals and find x.

2x + 4y = -12

2x + 4(-6) = -12

2x - 24 = -12

2x = 12

x = 6

4 0
3 years ago
A horse travels an average speed of 12 miles per hour how long does it take a horse to travel 60​
olganol [36]
5 hours hun just divide and times and maybe you will find it
8 0
3 years ago
Other questions:
  • What is 17 * 5 + 32 - 172?
    8·2 answers
  • Income Vincent earns $15 per hour during the week and $18 per hour for overtime
    10·1 answer
  • What is 9.36•10~4 in standard form
    10·1 answer
  • Write the equation in slope intercept form: 3x - 4y = 8*
    7·1 answer
  • Please help mee<br><br> 3f + 4(2f - 5)
    7·1 answer
  • Find the area A of polygon JKLMNO with the given vertices.
    5·1 answer
  • I think of a number, then divide by 8, then
    10·2 answers
  • Please help me, ASAP tyyy
    5·1 answer
  • What is the solution set of the equation x²+3x-4=6
    15·1 answer
  • How far does the peguin walk in 45 seconds
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!