Cong consumes only food, with quantity f and drinks, with quantity d and has the utility function u(f, d) = 2v7 + d. The price of food is py and the price of a drink is pa = $1. Cong's income is m. Put f on the horizontal axis in any graphs you plot. (a) Write the equation of Cong's indifference curve passing through bundle (4, 1) where the first quantity corresponds to f. Find one other bundle on that indifference curve. (b) Suppose py = 1/2 and m = 12. Write down Cong's consumer's problem of maximizing her utility subject to her budget constraint and solve for her optimal consumption bundle, (f*, d')