2. Say True, False or uncertain and briefly explain why. You can use a supporting formula and/or graph. In most cases, a short explanation will do. Points will be given only for the supporting explanations you provide. (20 pts.) a. "If a rational consumer spends his entire income on two goods, then at least one of them must be an inferior good.' ' b. "If price of a good increases, other things equal, and the total revenue of sellers of the good goes up, then the good has elastic price elasticity of demand in that price range.' ' c. "A utility maximizing consumer will always choose a bundle at which her indifference curve is tangent to her budget line.' ' d. "If preferences of all consumers are convex but not the same (no corner solution and no kinked indifference curves) and they face the same prices for all goods, then at their optimal bundle of consumption, all consumers must have the same MRS. e. A linear demand function has constant price elasticity of demand at each price.