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Assume a comsumer with the utility function
U = U(x,y) = (X + 2)(Y + 1)
and the budget constraint
M = PxX + PyY
a. Set up the constrained maximization problem, and derive the firsr-order conditons.
b. Derive the demand for X and Y.
c. Derive the price elasticites of demand. Do the demands obey the law of demand?
d. Are the products substitutes or complements?
elizabeth M. suburbs makes $200 a week at her summer job and spends her entire weekly income on running shoes and designer jeans, because these are the only two items that provide utility to her. Furthermore, Elizabeth insists that for every pair ..
At an initial point on the aggregate demand curve, the price level is 100, and real to GDP is $15trillion. After the price level rises to 110, however, there is an upward movement along the aggregate demand curve, and real GDP declines to $14 tril..
A young engineer wishes to become a millionarie by the time he is 60 years old. He believes that by careful investment he can obtain a 15% rate of return. He plans to add a uniform sum of money to his investment program each year, beginning on his..
On the other hand, the Iceland Planning Commission has determined that five refrigerator suppliers would be sufficiently competitive to bring price into equality with average cost. The five-firm equilibrium would yield a price of $100 and a total ..
Compare and contrast the economic performance of the American economy of 2001 with the economic performance of the 1996 to 2001 period. Use the appropriate aggregate demand and aggregate supply curves
suppose you purchase a corporate bond with a 0-year maturity, a $1000 par value, a 10% coupon rate, and semiannual interest payments. This means that you receive a $50 interest payment at the end of each six-month period for 10 years (20 times).
Copper Refiner Phelps Dodge purchased a model MTVS peristaltic pump for injecting antiscalant at ite nanofitration water conditioning plant. The cost of the pump was $950. If the chemical cost is $10 per day, determine the equivalent cost per mont..
The Textile Workers of America is planning to strike for higher wages. Management predicts that if the strike is successful, the cost of labor will increase to $100 per day. If the strike is successful, how would this affect the decision in part a..
Using a method similar to the consumer price index, compute the percentage change in the overall price level. Use 2009 as the base year, and fix the basket at 1 karaoke machine and 3 CDs.
Barry's utility function is U(W) = W^2. Carl's utility function is U (W )= sqrt(W) . Each has wealth of only $100. An investment of that $100 has a 10% chance of netting $1,000 and a 90% chance of netting a loss of that $100.
The Federal Reserve has just purchased $100 million in Treasury bills from commercial banks. b. If the public holds a fixed amount of currency (so that all loans create an equal amount of deposits in the banking system), the minimum reserve ratio ..
Jim and Matt allocate their consumption between two goods: hats and bats. The price of hats is $4 each and the price of bats is $8 each. For Jim, the marginal utility of the last hat consumed was 8 and the marginal utility of the last bat was 24.
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