Question 15 of 36 18.0 Points Click to see additional instructions (The following maximization problem is outside the sandbox, as defined in step 43. Nonetheless, all the techniques in SE apply just as if the problem were in the sandbox. This problem was chosen for the examination because its derivatives are so easy. Depending on your approach, you may need to use the quadratic formula, which states that the solutions to ax' + bx + c =0 are [b plus or minus the square root of [b- - 4ac]] divided by 2a. ) Suppose that G(x) = x' - 4.5x- + 8x and that H(y) = y. Then consider the problem of maximizing utility G(x) + H(y) subject to 2x + y = 1. (a) Suppose / = 1. Then maximized utility is and the maximizer is specified by x = and y = (b) Suppose / = 2.5. Then maximized utility is , and the maximizer is specified by x = and y = (c) Suppose / = 4.5. Then maximized utility is , and the maximizer is specified by x = and y =