1. There are $624 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. 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. 2. Suppose that postal requirements specify that parcels must have length plus girth at most 1 14 inches. Consider the problem of finding the dimensions of the square ended rectangular package of greatest volume that is mailable. (a) Express the length plus the girth in terms of x and h. (b) Determine the objective and constraint equations. (c) Express the quantity to be maximized as a function of x. (d) Find the optimal values of x and h