There are $432 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. The picture on the right depicts this situation. 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.
