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Problem 66 Hard Difficulty

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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