There are $480 available to fence in a rectangular garden. The fencing for the side of the
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Question:
There are $480 available to fence in a rectangular garden. The fencing for the side of the garden facing the road costs $9 per foot, and the fencing for the other three sides costs $3 per foot. Consider the problem of finding the dimensions of the largest possible garden.
(a) Determine the objective and constraint equations.
(b) Express the quantity to be maximized as a function of x.
(c) Find the optimal values of x and y.
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