Problem 4. Chad is an aspiring bodybuilder and consumes only protein shakes and chicken breast. Define Chad's consumption bundle as (x,xc), where xp denotes gallons of protein shake and xc denotes

pounds of chicken breast. Last week Chad drank 20 gallons of protein shake and ate 5 pounds of chicken breast. It turns out that the set of consumption bundles (Xp,Xc) so that Chad is indifferent between (xp,xe) and the bundle (20,5) is the set of all bundles such that x = 100. The set of bundles (x,xc) such that Chad is indifferent between (xp,xe) and the bundle (10,15) is the set of bundles such that xe Xp 150 Xp a) Plot four points that lie on the indifference curve that passes through the point (20,5) and sketch this indifference curve. Using different color, plot four points that lie on the indifference curve that passes through the point (10,15) and sketch the indifference curve./nb) Shade the set of commodity bundles that Chad weakly prefers to the bundle (20,5). Use different color/tone to shade the set of commodity bundles that Chad weakly prefers to the bundle (10,15) c) Decide if this statement is true or false: (30,5)~ (10,15) d) Decide if this statement is true or false: (10,15) > (20,5) e) Decide if this statement is true or false: (20,5) ≥ (10,10) f) Decide if this statement is true or false: (24,4) ≥ (11,9.1)/ng) Decide if this statement is true or false: (11,14) > (2,49) h) is the set of bundles that Chad weakly prefers to (20,5) a convex set? i) is the set of bundles that Chad considers inferior to (20,5) a convex set? j) The slope of the indifference curve xc =, where A is any constant, at point xp is 2. What is Chad's marginal rate of substitution at consumption bundle (10,10)? (xp)² k) What is Chad's marginal rate of substitution at consumption bundle (5,20)? 1) What is Chad's marginal rate of substitution at consumption bundle (20,5)? m) Do Chad's indifference curves exhibit diminishing marginal rate of substitution?