2. Suppose that Dwayne is a sports psychologist and earns his income by giving private sessions for $200 per hour. Assume that Dwayne can see as many clients that he wants to

(sessions are one hour each). The price of consumption is $1 per unit. His income and time constraints are X=2ooh 24 = h +Z Dwayne also has a utility function over consumption and leisure defined as U=X+ 200Z Which means that the marginal rate of substitution is MUz 200 MRS=--=-= 200