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Curt can be paid in one of two ways for the furniture he sells. Plan​ A: Salary of ​$900 per​ month, plus a commission of​ 10% of sales. Plan​ B: Salary of ​$1200 per​ month, plus a commission of​ 15% of sales in excess of ​$8000. For what amount of monthly sales is plan B better than plan​ A, assuming​ Curt's sales are always more than ​$8000​?

 Oct 8, 2018
edited by Guest  Oct 8, 2018
edited by Guest  Oct 8, 2018
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\(a=900+0.1s \\ b=1200+0.15(s-8000)\\ \text{find s such that }b>a\\ 1200+0.15(s-8000) > 900 + 0.1 s\\ 1200 +0.15s - 1200 > 900 + 0.1s \\ 0.05s > 900 \\ s> 18000\)

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 Oct 10, 2018

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