(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.

There are $256 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. The picture on the right depicts this situation. Consider the problem of nding the dimensions of the largest possible garden. (a) Determine the objective and constraint equations. $2 (b) Express the quantity to be maximized as a function of x. (c) Find the optimal values ofx and y. $2 $6 Road $2