There are $320 available to fence in a rectangular garden. The fencing for the side of the garden facing the road costs $12 per foot, and the fencing for the other three sides costs $4 per $4 foot. The picture on the right depicts this situation. Consider the problem of finding the dimensions of the largest possible garden. $4 (a) Determine the objective and constraint equations. y $4 (b) Express the quantity to be maximized as a function of x. X (c) Find the optimal values of x and y. $12 Road