Question

Gymnast Clothing manufactures expensive soccer cleats for sale to college bookstores in runs of up to 500. Its cost (in dollars) for a run of x pairs of cleats is
C(x) = 3000 + 9x + 0.1x2 (0 ≤ x ≤ 500).
Gymnast Clothing sells the cleats at $130 per pair. Find the revenue and profit functions. How many should Gymnast Clothing manufacture to make a profit?

Revenue:
Profit:

At Least ____pairs

I don't know how to find the Revenue and Profit function with the formula given, how do I determine it?

Thanks

Answer 1

Revenue is
R(x)=130x since it sells for $130 per pair
Profit function is
P(x)=R(x)-C(x)

To make a profit, P(x) must be positive.