Write the profit function, P(x), for Lee’s business

Lee is opening an online shop to sell handmade necklaces. He has determined that his cost and revenue functions are C(x)= 730+24x and R(x) =71x, respectively, where x represents the number of necklaces. write the profit function P(x) for Lee's business.

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Profit = Revenue minus Cost

R(x) = 71x {revenue function}
C(x) = 730 + 24x {cost function}

P(x) = 71x - (730 + 24x) {revenue minus cost}
P(x) = 71x - 730 - 24x {removed parentheses}
P(x) = 47x - 730 {combined like terms}

The profit function for Lee’s business is P(x) = 47x - 730

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