Company E-Denim sells jeans. Their weekly revenue is modeled by the function $R(x) = -x^2 + 80x$. Their weekly expenses are modeled by the cost function $C(x) = 0.5x^2 + 10x + 300$, where $x$ represents the number of pairs of jeans sold per week. Find the optimal number of jeans E-Denim must sell each week to maximize profit. 27 21 23 25
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$P(x) = R(x) - C(x)$ Given: $R(x) = -x^2 + 80x$ $C(x) = 0.5x^2 + 10x + 300$ Substitute the expressions for $R(x)$ and $C(x)$ into the profit function: $P(x) = (-x^2 + 80x) - (0.5x^2 + 10x + 300)$ Show more…
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