4. Each summer Jim faces a dilemma. There are two goods in the world, Boston Red Sox tickets (x1) and Pawtucket Red Sox tickets (x2). Jim has $200 to spend on tickets. Boston tickets cost P1 50 each and Pawtucket tickets cost p2 = 10 each. Jim loves going to any baseball game, but he likes going to Fenway a bit more than going to McCoy. His utility function is u = 3x1 + x2. = a) Sketch Jim's budget constraint. Label the axes, the slope, and the intercept. b) Calculate Jim's marginal rate of substitution. Interpret how it compares to the price ratio he faces. c) What is Jim's optimal choice of consumption bundle? Mark it on your diagram and add to your diagram the indifference curve for Jim that passes through the optimal choice. d) Explain why Jim prefers the point you found in c) to any other bundle in his budget set.