I don't know how to do a question below. Help me, please!

Question

4. If Gabe’s Soccer Ball Company is able, due to competitive pressure, to charge $60 for a new soccer ball, while one soccer ball costs $28 to make, plus $15,000 per month in overhead costs (mostly Gabe’s extravagant salary) find:

a. The average cost c(x) of producing each soccer ball

b. Algebraically find the number of soccer balls Gabe’s company must produce per month in order to break even (Profit = 0). Profit = Total Revenue – Total Cost

c. Algebraically find the number of soccer balls Gabe’s company must make to earn a profit of $10,000 per month.

d. If Gabe took a pay cut to reduce the overhead costs to $8,000 per month, how many fewer balls would the company have to sell to break even. (There are multiple ways to get this result).

Answer 1

a. Average cost is c(x)/x which is (28x+15000)/x or 28+15000/x

b. Revenue is 60x and the cost function above without the /x so profit=60x-28x-15000=0, 32x-15000=0, 32x=15000, x=15000/32=468.75 soccer balls

c. 32x-15000=10000, 32x=25000, x=25000/32=781.25 soccer balls

d. going back to the end result of b: 32x=8000, x=8000/32=250, 468.75-250=218.75 fewer soccer balls