There are $320 available to fence in a rectangular garden. The fencing for the side of the garden facing the road costs $6 per foot and the fencing for the other three sides costs $2 per foot. [See Fig. 12(a).] 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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