There are $512 available to fence in a rectangular garden. The fencing for the side of the $4 garden facing the road costs $12 per foot, and the fencing for the other three sides costs $4 per foot. The picture on the right depicts this situation. Consider the problem of finding $4 y $4 the dimensions of the largest possible garden. X (a) Determine the objective and constraint equations. $12 (b) Express the quantity to be maximized as a function of x. (c) Find the optimal values of x and y. Road