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Firm A has developed a new product and must now decide whether to install enough capacity to produce either one or two units of the product. It expects production costs (including capacity building) to be C(q) = 8q + q2 and it estimates demand for the product to be D(p) = 10 0.5 p. It also expects that, as soon as its capacity building plans are announced, a rival firm, firm B, will develop a clone (which consumers view as a perfect substitute for the product of firm A) and then to install enough capacity to produce either one or two units of this clone product. It expects Firm B to have identical costs. Represent this situation as an extensive-form game and use backward induction to deduce what capacity Firms A and B will install.
The capital investment cost for a switchgrass-fueled ethanol plant with a capacity of 250,000 gallons per year if $1.4 million. The cost-capcaity factor for this particular plant technology is 0.59 for capacities ranging from 200,000 gallons per y..
A firm in a purely competitive industry is currently producing 1000 units per day at a total cost of $450. If the firm produced 800 units per day at a total cost would be $300 and if it produced 500 units per day, its total cost would be $275. Wha..
Suppose there are three people discussing the amount of taxes they pay and wondering if the current tax system is fair. Jeff earns an income of $300,000 a year and has an annual tax bill of $40,000. Margaret earns and income of $200,000 a year an..
Identify whether the variables in your model suffer from non-stationarity. Discuss the possible implication of non-stationarity for your model and how this problem could be addressed.
A U.S. firm is considering moving its production to Mexico. Its estimated production function is q = L 0.5 K 0.5 . The U.S. factor prices are w = r = 10. The Mexican factor prices are w* = 5, r* = 10. What is the optimal input bundle ( L,K..
Consider the production function f(L;K) = L + K. a. Suppose K is fixed at 2. Find algebraic expressions for the total product of labor function TP(L), the average product of labor AP(L), and the marginal product of labor MP(L).
The products are being made by a machine that currently costs $100,000 and produces a 1000 units during its lifetime after which it needs to be replaced. The machine can be replaced by a larger one that produces proportionally larger number of uni..
The Solar Energy Company is producing electricity from a solar source by using a large array of solar cells and selling the power to the local utility company. Because these cells degrade over time, thereby resulting in lower conversion efficiency..
Bill Mitselfik borrowed $10,000 to be repaid in quarterly installments over the next five years.The interest rate he is being charged is 12% per year compounded quarterly. What is his quarterly payment
where L1 is the number of workers employed in Sector 1 and L2 is the number of workers employed in Sector 2. The total number of workers in the economy is 1,000. The only difference between the sectors is that in Sector 1 workers are paid their ma..
Suppose that the inverse demand for shale gas is given by p = 400 - 2q. The private marginal cost of producing shale gas is PMC = 100 + q. Suppose that in order to produce shale gas at the PMC given above, the oil and gas (O&G) companies (that pro..
The following equations show market demand and supply, respectively: Qd = 10,000 - 1,000P Qs = -2,000 + 1,000P What is the equilibrium price and quantity in this market?
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