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A rectangular box with a square base has a volume of 4 cubic feet. The material...

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Basic Math

A rectangular box with a square base has a volume of 4 cubicfeet. The material for the bottom of the box costs $3 per squarefoot, the top costs $2 per square foot, and the four sides cost $5per square foot.

(a) If x is the side length of the square base, and y is theheight of the box, find the total cost of the box as a function ofone variable.

(b) Find the critical number of the cost function.

(c) Use the Second Derivative Test to show that the criticalnumber for cost is a local minimum

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