REVIEW QUESTIONS BASED ON CHAPTERS 2 AND 3 __________________________________________ 1. At the saturation point for commodity X, the MUx is (a). positive (b). negative (c). zero (d). any of the above. 2. If the MU of the last unit of X consumed is twice the MU of the last unit of Y consumed, the consumer is in equilibrium only if (a). the price of X is twice the price of Y. (b). the price of X is equal to the price of Y. (c). the price of X is one half of the price of Y. (d). any of the above is possible. 3. At equilibrium, the utility a consumer gets from consuming the last unit of each commodity is the same. (a). True (b). False (c). True of false depending on the individual's income (d). True or false depending on commodity prices. 4. If the MUx/MUy for individual A is greater than the MUx/MUy for individual B, then individual A could gain by giving up (a). X in exchange for more Y from B. (b). Y in exchange for more X from B. (c). either X or Y. (d). we can not say without additional information. 5. When the price of an inferior good falls, all else equal, (a). the substitution and the income effects reinforce each other in causing an increase in the quantity demanded of the inferior good. (b). the substitution and the income effects reinforce each other in causing a decrease in the quantity demanded of the inferior good. (c). the substitution effect tends to increase the quantity of the good demanded, while the income effect tends to reduce it. (d) the substitution effect tends to increase the quantity of the good demanded, while the income effect tends to increase it. 6.The necessary and sufficient condition for a good to have a positively sloped demand curve is that (a). The good be inferior (b). the substitution effect exceed the income effect (c). the income effect exceed the substitution effect (d) the good be inferior and the income effect exceed the opposite substitution effect. The equation of a downward-sloping, convex indifference curve is Y = 36/X and that for the consumer's budget is Y = 12 - X Find the utility-maximizing quantities of x and y. Prove that at the utility-maximizing bundle, the slopes of the indifference curve and the budget line are equal. 7. Derive Engel Curves for (a) Perfect substitutes (b) Perfect complements (c). Quasilinear preferences. 8. Given the following income-quantity relationship _________________________________________________________________ Point A B C D F G H L _________________________________________________________________ Income $'000 4 6 8 10 12 14 16 18 ----------------------------------------------------------------- Qty (lbs) 100 200 300 350 380 390 350 250 ----------------------------------------------------------------- (a). Sketch the Engel curve. (b). Over what range of income is the commodity a luxury, a necessity or an inferior good? 9. Arc elasticity gives a better estimate of point elasticity of a curvilinear demand curve as (a). the size of the arc becomes smaller. (b). the curvature of the demand curve over the arc becomes less. (c). both of the above. (d). none of the above. 10(a). Show that when Qx = 600/Px, total expenditures on X remain unchanged as Px falls. (b). From (a) derive the value of price elasticity of demand along the demand curve. TO BE CONTINUED!!