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Suppose that two firms produce differentiated products and compete in prices. as in class, the two firms are located at two ends of a line one mile apart. consumers are evenly distributed along the line. the firms have identical marginal cost, $60. firm b produces a product with value $110 to consumers. firm a (located at 0 on the unit line) produces a higher quality product with value $120 to consumers. the cost of travel are directly related to the distance a consumer travels to purchase a good. if a consumerhas to travel a mile to purchase a good, the incur a cost of $20. if they have to travel x fraction of a mile, they incur a cost of $20x. (a) write down the expressions for how much a consumer at location d would value the products sold by firms a and b, if they set prices p_{a} and p_{b} ? (b) based on your expressions in (a), how much will be demanded from each firm if prices p_{a} and p_{b} are set? (c) what are the nash equilibrium prices?

Jallouk corporation has two different bonds currently outstanding. bond m has a face value of $50,000 and matures in 20 years. the bond makes no payments for the first six years, then pays $2,100 every six months over the subsequent eight years, and finally pays $2,400 every six months over the last six years. bond n also has a face value of $50,000 and a maturity of 20 years; it makes no coupon payments over the life of the bond. the required return on both these bonds is 10 percent compounded semiannually. what is the current price of bond m and bond n?

You own a nonunion company with 93 nonexempt employees. all of these employ- ees pack books into boxes for shipment to customers throughout the united states. because of wide differences in performance, you have decided to try performance appraisal, something never done before. until now, you have given every worker the same size increase. now you want to measure performance and reward the best performers with bigger increases. without any further information, which of the five types of appraisal formats do you think would be most appropriate? justify your answer. do you anticipate any complaints, or other comments, from employees after you implement your new system?