How many pairs of cleats should Gymnast Clothing manufacture to make a profit?

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 xpairs of cleats is

C(x) = 3,100 + 5x + 0.1x²    (0 ≤ x ≤ 500). 

Gymnast Clothing sells the cleats at $130 per pair. Find the revenue and profit functions.

Revenue =130x

 

 Profit=−0.1x2+105x−3100

 

 

Answer 1

0.1 x^2 -125 x + 3100