ization Problems Question 4, 2.5.11-PS HW Score: 97.14%, 6.8 of 7 points Save Part 1 of 4 Points: 0.8 of 1 There are $512 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 $4 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. $4 y S4 (b) Express the quantity to be maximized as a function of x. X (c) Find the optimal values of x and y. $12 Road (a) Let A equal the area of the garden. The objective equation is (Type an equation.)