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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?

Jason started last week with $900 in his checking account. during the week, he wrote the checks below. at the end of the week, jason received a paycheck for $534.59. he recorded all of these transactions in his check register. trans typ./ check no. date description of transaction payment/ debit deposit/ credit (+) balance 900 00 241 12/4 miller's food market 53.21 53 21 groceries 846 79 242 12/7 frank's auto parts 24.05 24 05 oil and filter 822 74 243 12/8 mike's barber shop 15.00 15 00 haircut 807 74 deposit 12/9 paycheck 534.59 534 59 1,342 33 evaluate jason's check register. a. jason did a good job; everything is correct. b. the final balance is wrong; jason did not add everything correctly. c. jason should have written debit instead of deposit for the transaction type. d. jason entered the amount for his paycheck in the wrong column.

Rate of return douglas keel, a financial analyst for orange industries, wishes to estimate the rate of return for two similar-risk investments, x and y. douglas's research indicates that the immediate past returns will serve as reasonable estimates of future returns. a year earlier, investment x had a market value of $27 comma 000; and investment y had a market value of $46 comma 000. during the year, investment x generated cash flow of $2 comma 025 and investment y generated cash flow of $ 6 comma 770. the current market values of investments x and y are $28 comma 582 and $46 comma 000, respectively. a. calculate the expected rate of return on investments x and y using the most recent year's data. b. assuming that the two investments are equally risky, which one should douglas recommend? why?