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17 July, 18:11

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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  1. 17 July, 20:40
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    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)
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