Consumers minimize utility subject to an equality income constraint as well as nonnegatiyity constraints. Assume n goods; that the utility function is strictly quasiconcaye, continuous, and maps the consumption set X into R; X is a subset of R+" that is nonempty, convex, closed, and D e X; y e R+; and p e RH". i. Does this consumer necessarily have a consumption bundle which minimizes their utility subject to theirbudget constraint? demonstrate that your answer is correct. Hint: This is not asking you to characterize the optimum in any way, just show that the optimum exists