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Q1. General Equiliubrium-Pure Exchange Economy
Suppose A and B live in an exchange economy with two goods x1 and x2. Aowns 50 of both goods, and B own 250 of both goods.A's tastes are captured by the utility functionuA(x1,x2) = x2 + 50lnx1 and B's are captured by the utility functionuB(x1,x2) = x2 + 100lnx1.
a. Let the competitive equilibrium prices be p1 and p2 respectively.Derive both consumers' demand functions for both goods.
b. Find the relationship between p1 and p2 in equilbirum. How muchof each good will each consumer choose?
c. Suppose the government transfers 100 units of B's good 1endowment to A. How will the consumers' choices of good 1 in competitiveequilibrium change? Explain. (You should answer without repeating the utilitymaximization calculations.)
A company that manufactures in-line mixers for bulk manufacturing is considering borrowing $1.25 million to update a production line.If it borrows the money now, it can do so at an interest rate of 8%per year simple interest for 4 years.
(b) At what output and price will the firm maximize total profit (c) Compare the maximum profit obtainable with the profit that the firm would have if it chose a revenue-maximizing strategy.
East Chicago is a major production center of steel in the United States. In the process of producing steel, the firms in this are emit pollution both into the air and into the water which adversely affect Indiana residents. The EPA has determined ..
Cash Flow A B C Initial cost $15,000 $27,500 $22,500 O & M costs / year $ 1,600 $ 375 $ 1,100 Annual cost savings $ 7,000 $ 9,500 $ 9,000 Salvage value $ 3,000 $ 7,250 $ 4,500 Using incremental rate of return analysis, determine which alternative ..
.In the long run, a price increase from $1 to $2 has an elasticity of supply of 1.50. So how many popsicles will be sold per day in the long run if the prices rises to $2 each ( Hint : Apply the midpoints approach to the elaticity of supply.)
The following table shows nominal GDP and an appropriate price index for a group of selected years. The base year for the index is the year 2000. Compute real GDP in each year. Indicate also whether you are inflating or deflating the nominal GDP d..
calculate the exact elasticity of demand in the following examples: Then tell if, in each case, demand is elastic, inelastic, or unitary elastic. (a) When the price of a deluxe car wash rises from $10.00 to $11.00, the number of daily customers fa..
Acme Landfill Company is considering the purchase of 10 better trash collection trucks. Each truck costs $50,000 and will last 7 years. the firm estimates that the entire purchase will increase its annual total annual revenues by $100,000 per year..
In a perfectly competitive industry, the marketprice is $25. A firm is currently producing 10,000units of output, its average total cost is $28, itsmarginal cost is $20, and its average variable costis $20.
A duopoly faces a market demand of p=120-q. Firm 1 has a constant marginal cost of MC1=20. Firm 2's constant marginal cost is MC2=40. Calculate the output of each firm, market output,
The Coma Chemical Company needs a large insulated stainless steel tank for the expansion of its plant.coma has located one at a Brewery that has just been closed.The brewery offers to sell the tank for $15000 including delivery. the Price is so lo..
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