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]
2 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]2 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
I do not understand any of the questions its asking :c
Agata [3.3K]

Answer:

Step-by-step explanation:

The total number of students is 350 + 50 + 225 + 375 = 1000.

There are 225 students in band only, as well as 50 students in both band and choir.  So there are 275 students in band out of the total of 1000, or 27.5%.

There are 350 students in choir only, as well as 50 students in both choir and band.  So there are 400 students in choir, 50 of whom are also in band.  So the probability is 50/400, or 12.5%.

The probabilities are not the same.

Since the probabilities are not the same, the probability of being in band is affected by whether or not the student is in choir.  So the events are not independent.

7 0
3 years ago
-43 - 4r = 3( 1 - 9r )
Karolina [17]

-43 - 4r = 3 - 27r

Add 27r to both sides. -43 - 4r + 27r = 3 -27r + 27r or -43 + 23r = 3

Add 43 to both sides. -43 + 43 +23r = 3 + 43 or 23r = 46.

Divide both sides by 23 to get r by itself. 23r / 23 = 46 / 23 or r = 2

r = 2

6 0
3 years ago
Read 2 more answers
What is the solution to 3/8 x 1/8?
babymother [125]

Answer:

3/64

Step-by-step explanation:

Multiply straight across the numerators and then denominators

  3              1                3

-------  X  ----------  =  ---------

  8              8              64

4 0
3 years ago
Read 2 more answers
Name two numbers on the number line that are a distance of 5 away from 3
tangare [24]
8 has to be one of them
4 0
2 years ago
Read 2 more answers
Variable y varies directly with variable x, and y = 45 when x = 9.
Alenkasestr [34]
Direct variation means their ratio is a constant
x/y is 9/45=1/5
so when x=2, y=5*2=10
4 0
3 years ago
Other questions:
  • Jonathan math test scores where 87 93 85 62 and 95 what was his mean score answer
    14·2 answers
  • find five consecutive even integers if the sum of the first and fifth is 2 less than 3 times the fourth.
    9·1 answer
  • Urbanization is more than the growth of cities. it represents a change in economic, social, and
    10·2 answers
  • which parachute has a slower decent a red parachute that falls 10 feet in 4 seconds or a blue parachute that falls 12 feel in 6
    12·1 answer
  • Question is added as photo.<br> It asks for one of the roots
    7·2 answers
  • If x+y=76 and x-y=38, how much is (x/y)exponent 3
    12·1 answer
  • What is 4,672.183 rounded to the nearest hundredth?​
    15·2 answers
  • Pls help I’m failing
    8·1 answer
  • 8. A ship leaves port at 9:00 a.m. and has a bearing of N 70° W. The ship sails
    11·1 answer
  • 1/4 diveided bye 9/10
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!