Suppose that James loves rice (R) and beans (B) such that his utility function is given by U(R, B) = R^1/4 B^3/4. His income is $20 each week. Rice and beans cost $1 and $2 per pound, respectively.

1) Specify two bundles of rice and beans for which James is indifferent between.

2) What is the budget constraint?

3) What is the price ratio between rice and beans?

4) Graph the Budget Constraint.

5) What is the marginal rate of substitution between rice and beans?

6) The optimal relationship between rice and beans is derived when the marginal rate of substitution is

equal to the price ratio. Use this relationship to determine the optimal allocation of rice and beans.

7) Graph the utility function on the graph with your budget constraint, indicating the optimal allocation of rice and beans