Susie makes jewelry to sell at the flea market. She knows her profit function is P (x) = -2x2+20x-17 and her cost function is C (x) = 17+10x, where x is the number of items produced. Calculate her revenue function.

Question

Mathematics

Abraham Fernandez

1 August, 03:37

Susie makes jewelry to sell at the flea market. She knows her profit function is P (x) = -2x2+20x-17 and her cost function is C (x) = 17+10x, where x is the number of items produced. Calculate her revenue function.

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Answers (1)

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Agustin Fernandez · Answer 1

Profit = Revenue less Costs. Thus, Revenue = Profit (x) + Costs (x).

Here,

Profit (x) = P (x) = - 2x^2 + 20x - 17, and Costs (x) = 17 + 10x. Thus,

Revenue (x) = R (x) = - 2x^2 + 20x - 17 + 17 + 10x

R (x) = - 2x^2 + 30x (answer)