Suppose the Potter's tastes for "square feet of housing" (11:) and "other goods" (3,!) can be represented by the utility function: U (:12. y) = magiv. Then, PVIUL = RIGlyl_ and 02ny : guyu_ (e) Calculate Potters optimal housing consumption as a function of the price of housing (pm) and their exogenous income Mr (assuming that pg is by definition equal to 1). (D For what value of or will they indeed purchase a 2,000squarefoot house when their income is $400,000 and the price per square foot is $100? Use the value of o: from previous part in the remaining calculations. (g) Now suppose the price of housing falls to $75 per square foot and they choose to sell their 2,000-square-foot house. How big a house would theyr now buy