Assume a comsumer with the utility function
U = U(x,y) = (X + 2)(Y + 1)
and the budget constraint
M = PxX + PyY
a. Set up the constrained maximization problem, and derive the firsr-order conditons.
b. Derive the demand for X and Y.
c. Derive the price elasticites of demand. Do the demands obey the law of demand?
d. Are the products substitutes or complements?