Sam’s utility function over goods X and Y is considered to be
U(X,Y) = 10X +5Y
His income is $100 and the price of X is $2 and the price of Y is $5.
a) Calculate the MRS or the marginal rate of substitution between X and Y.
b) How much X and Y will Sam buy to maximize his utility given his budget constraint and the prices of X and Y?