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)

Question

Mathematics

Nikolai Taylor

2 October, 15:08

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)

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Answers (1)

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Haylee Hines · 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.