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Georgia Southern University

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Problem 66

Average cost A restaurant's cost function is approximated by

$C(x, y)=\frac{1}{4} x^{2}+4 x+2 y^{2}+y+10$

dollars, where $x$ represents the cost of labor per hour and $y$ represents the average cost of materials per dish. Find the average cost of the restaurant per hour if the cost of labor per hour in the

restaurant is between $\$ 30$ and $\$ 60,$ and the cost of material perdish is between $\$ 50$ and $\$ 80 .$

Answer

$\$ 3518$

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## Recommended Questions

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$$\begin{array}{l}{C(x)=75 x^{2}+20 x+3675 \text { on the following intervals }} \\ {\text { (a) } 1 \leq x \leq 10 \quad \text { (b) } 10 \leq x \leq 20}\end{array}$$

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