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The following utility function represents the preferences of agent i over two goods x1 and x2:
ui(x1,x2) = 3√x1 + x2
a)Solve the optimal choice problem for agent i if p1 = p2 = 1; and I=15
b)How does this answer in part a change if income doubles?
Suppose the demand for a firm's product is estimated to be P = 200 - 2Q from which it can be shown that TR = PQ = 200Q - 2Q2 . The cost of producing and selling the product is known to be TC = 625 + 50Q + 3Q2 .
Suppose that there are 80 firms in a market, each with the following cost function: C(q) = 100 + 4q^2 A.) Derive the short-run market supply curve. B.) Suppose the market demand is Qd= 1280 - 30P Find the equilibrium market quantity and price.
Suppose that households are concerned about the future and cut back on their marginal propensity to consume from 0.80 to 0.667. Try this experiment for the Ms Target case and the Interest Target Case. What happens to the multiplier
Dakota Trucking Company (DTC) is evaluating a potential lease for a truck with a 4-year life that costs $40,000 and falls into the MACRS 3-year class. If the firm borrows and buys the truck, the loan rate would be 10%, and the loan would be amorti..
A high-tech company in the US can have one of the popular items made offshore at half the price of making them in the US. However, about 90% of the items made offshore will be returned within the warranty period of 1 year for repairs. The followin..
A widget production machine can be purchased and installed for $100,000. It is in the seven-year GDS property class, and is expected to be kept in service for eight years. It is believed that $7,500 can be obtained.
Suppose that demand for cartel's oil is given by P=50-.1Q where P is the price per barrel and Q is the quantity produced in barrels. If the cartel's aggregate marginal cost is given by MC= 10+0.2Q what is the cartel's profit maximizing price of oi..
A. Calculate the opportunity cost of an increase in the numberof hours spent studying in order to earn a 3.0 grade poingaverage(GPA) rather than a 2.0 GPA. B. Is the opportunity cost the same for a move from a 0.0 to a1.0 GPA
Suppose that a firm comtemplating entering the market for breakfast cereal would need to invest $100 million in a production plant (or about $10 million annually on an amortized basis). Such a plant could produce about 100 million pounds of cereal..
Assume that there are no transactions or carrying costs. Should you buy or sell wheat futures? If each wheat futures contract is for 5,000 bushels, how many contracts will you buy or sell? How much will you spend or receive in buying or selling th..
Liz Taylor bought some farming lands for $100,000 five years ago. She sold the property this year for $500,000. If the annual inflation rate for the past 5 years has been at 6%, compute the after-tax real interest rate for this investment.
Firm M and N compete for a market and decide independently how much to advertise. Each can spend either $10 million or $20 million on advertising. If the firms spend equal amounts, they split the $120 million market equally.
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