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Consider a Stackelberg duopoly game of quantity competition. Firm #1 is the "Leader" and firm #2 is the "Follower." Market demand is given by the inverse demand function p=1000-4Q.where Q=q1+q2 is the total output of the two firms. The firms have constant unit cost of productionc1 and c2, respectively. That is, the cost function of firm #1 isC(q1)=c1q1 and that of firm #2 is C(q2)=c2q2.
(a) Initially suppose that c1=c2=20. Use backward induction to solve for the subgame perfect Nash equilibrium (SPNE) of this game.(b) Now suppose that firm #1 still has unit cost c1=20, but firm #2 has a lower production cost, that is c2<20. What value wouldc2 have to be so that, in the SPNE, the two firms have the same market share?
The group recently spent $100,000 to plant the gardens. The members want to set up a perpetual fund to provide $100,000 for future replantings of the gardens every 10 years. If interest is 5%, how much money would be needed to forever pay the cost..
man wants to help provide college education for his daughter. He can afford to invest $600/yr for the next 4 years, beginning on the girl's 4th birthday, he wishes to give his daughter $4000 on her 18th 19th 20th and 21th birthdays, for a total of..
You got a loan for $1,000,000. It is a 30 year loan, but you are going to pay it off in 15 years. The APR is 8% and you make annual payments off $88,827,43. The Salvage value at year 15 is $300,000. What is the payoff amount
A manufacturer of off-road vehicles is considering the purchase of dual -axis inclinometers for instalation in a new line of tractors. The distributor of the inclinometers is temporarily overstocked and is offering them at a 40% discount from the ..
Nominal GDP uses current prices as a measure of the value of goods and services produced, while real GDP uses prices of goods and services in a base year to measure value. Suppose an economy consists of three goods: pizza, sodas, and televisions.
A corporation purchased a computer system for use by the firm's engineers. The system cost $500,000. At the end of its depreciable life, the salvage value for the system is $25,000. Compute the depreciation and book value schedule using the MACR..
A monopolist's inverse demand function is P = 150 - 3Q. The company produces output at two facilities; the marginal cost of producing at facility 1 is MC1(Q1) = 6Q1, and the marginal cost of producing at facility 2 is MC2(Q2) = 2Q2. Provide the eq..
Suppose banks are required by law to hold 5% of their deposits in reserves and total deposits are $100 million, but banks choose to hold a total of 20% of their deposits in reserves because loans are riskier and potentially unprofitable. Calculate..
Suppose that the total revenue received by a company selling basketballs is $600 when the price is set at $30 per basketball and $600 when the price is set at $20 per basketball. Without using the midpoint formula, can you tell whether demand is e..
Design specifications require that the diameter of an automotive axel measure 200 ± 18 mm. The milling process being considered for producing the axel has a standard deviation of 10mm. a. What is the process capability
( 1) Materials Cost Per Tire (2) Labor Cost Per Tire (3) Average Profit Per Tire (4) % Increase or Decrease in Materials cost Per Tire (5) % Increase or Decrease in Labor cost Per Tire (6) % Increase or Decrease in Average Profit Per ..
where a > 1. In addition assume that the firms target own profit maximization, compete (simultaneously) in quantities and have marginal costs equal to c1 = c2 = c. Assume that 1 > c > or equal to 0. Describing the necessary mathematical steps, and..
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