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An open box is to be constructed so that the length of the base is 4 times larger than the width of the base. If

An open box is to be constructed so that the length of the base is 4 times larger than the width of the base. If the cost to construct the base is 5 dollars per square foot and the cost to construct the four sides is 3 dollars per square foot, determine the dimensions for a box to have volume = 77 cubic feet which would minimize the cost of construction.

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