Dusty derives utility from 3 goods: music (M), wine (W), and cheese (C). His utility function is given by: u(M,W,C) = M + 2W + C.
a. Assuming Dusty’s consumption of music is fixed at 10, sketch the indifference curves between W and C for u = 40, and then again for u = 70.
b. Show that Dusty’s MRS of wine for cheese is constant for all values of W and C on the indifference curves calculated in part (a).
c. Suppose that Dusty’s consumption of music increases to 20. How would this change your answer to parts (a) and (b)?