Assume the utility function from two goods (x and y ) given by: U(x,y)= 2x + xy +4y suppose that x and y are purchased in the market at a constant unit price of birr 3 and birr 2 respectively and the consumer has a money income of birr 104, which he spend on the two goods.

a. Formulate the consumer maximization problem

b. Compute and interpret MRSx,y at x = 2 and y = 8

c. Use Lagrangian method to find the values of x and y that maximize utility