A rectangular box with a square base of length x and height h is to have a volume of 20 ft3. The cost of the top and bottom of the box is 20 cents per square foot and the cost for the sides is 8 cents per square foot. Express the cost of the box in terms of
a. the variables x and h;
b. the variable x only; and
c. the variable h only.
d. Use a graphing device to approximate the dimensions of the box that will minimize the cost.
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