ifi the range you calculated in part (d) . 3. Suppose that Bob's preferences can be represented by the utility function u(x, y) = 10x + y2. The price of y is $20. (a) Sketch a couple of indifference curves, with utility u= 100 and u=25. (5 points) (b) Determine Bob's demand functions for x and y. Sketch them. (5 points) (c) If the price of x is $10, and Bob's income is $1000, how many x would Bob consume? How much income would be devoted to spending on y? (5 points) (d) Suppose that the price of x increases to $50. Calculate the income and substitution effects. (10 points) (e) Is x a normal or inferior good in the range you calculated in part (d)? Is it ever an inferior good? If so, show it. (5 points)