SOLUTION: A shoe company will make a new type of shoe. The fixed cost for the production will be $24000. The variable cost will be $30 per pair of shoes. The shoes will sell for $100 for e

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Question 1203849: A shoe company will make a new type of shoe. The fixed cost for the production will be $24000. The variable cost will be $30 per pair of shoes. The shoes will sell for $100 for each pair. What is the profit if 600 pairs are sold?
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

x = number of shoes made and sold

C(x) = cost function
C(x) = 30x + 24000

R(x) = revenue function
R(x) = 100x

P(x) = profit function
P(x) = R(x) - C(x)
P(x) = 100x - (30x + 24000)
P(x) = 100x - 30x - 24000
P(x) = 70x - 24000

Plug in x = 600
P(x) = 70x - 24000
P(600) = 70*600 - 24000
P(600) = 18000


Answer: $18,000