Find the average profit function px from producing and

Question

The profit earned producing a type of wireless computer mouse is given by the function P(x) = -0.03x³ + 20x - 100, where x is the number of mice producer.

a. If we produce 100 mice, what is the profit?

b. If we produce 100 mice, what is the average profit per mouse?

c. If we produce 200 mice, what b the average profit earned per mouse?

d. Find the average profit function P(x) from producing and selling x mice.

e. Does it make sense to talk about how average profit behaves as quantity gets large?

f. What are the units for P(x)?

g. What is average profit in terms of price, fixed costs and variable costs?