Question

Gymnast clothing manufactures expensive soccer cleats for sale to college bookstores in runs of up to 500. It's cost (in dollars) for a run of x pairs of cleats is C(x)=3100+7x+0.1x^2 (0≤x≤500)

Answer 1

Revenue, R = 130x

Profit, P = Revenue – Cost

P = R – C

P = 130x – 2950 + 6x + 0.1x^2

At P = 0

0 = -2950 + 136x +0.1x^2

X = 21.355, -1381.355

Therefore, manufacture greater than 21.355 items to make

profit.