7. A manufacturer wants to design an open box (no top) having a square base and volume of 1/2 liter. (500 cubic centimeters). The sides of the box will be made from aluminum that costs 5 cents per square centimeter. The bottom of the box will be made from reinforced steel that cost 25 cents per square centimeter. Let x represent the length of the square base of the box and let y be the height of the box. a) Set up a cost function in terms of x and y.! b) Set up a cost function in terms of x only.

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