3.10 please

al 3.10. The utility that Julie receives by consuming food F and clothing C'is given by U(F, C) = FC. For this utility function, the marginal utilities are MUp = Cand MU = F. a. On a graph with F on the horizontal axis and C on the vertical axis, draw indifference curves for U = 12, U =18, and U = 24. b. Do the shapes of these indifference curves suggest that Julie has a diminishing marginal rate of substitution of food for clothing? Explain. c. Using the marginal utilities, show that the MRSE = C/F. What is the slope of the indifference curve U = 12 at the basket with 2 units of food and 6 units of clothing? What is the slope at the basket with 4 units of food and 3 units of clothing? Do the slopes of the indifference curves indicate that Julie has a diminishing marginal rate of substitution of food for clothing? (Make sure your answers to parts (b) and (c) are consistent!) 3.11. Sandy consumes only hamburgers (H) and milk-shakes (M). At basket A, containing 2 hamburgers and 10 milkshakes, his MRS 5 is 8. At basket B, containing 6 hamburgers and 4 milkshakes, his MRSy s is 1/2. Both baskets A and B are on the same indifference curve. Draw the indifference curve, using information about the MRSy s to make sure that the curvature of the indifference curve is accurately depicted. 3.12. Adam likes his caffe latte prepared to contain exactly 1/4 espresso and 3/4 steamed milk by volume. On a graph with the volume of steamed milk on the horizontal axis and the volume of espresso on the vertical axis, draw two of his indifference curves, U; and U,, with U; > U