Explain how the law of accumulation and the law of population help provide increased profits for investors in capitalist free enterprise.

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?

The master manufacturing company has just announced a tender offer for its own common stock. master is offering to buy up to 100% of the company's stock at $20 per share contingent on at least 64% of the outstanding shares being tendered. after the announcement of the offer, the stock closed on the nyse up 2.50 at $18.75. a customer has 100 shares of master stock in his cash account. the customer tells you that he wishes to "cash out" his position. you should recommend that the customer:

Your sister turned 35 today, and she is planning to save $60,000 per year for retirement, with the first deposit to be made one year from today. she will invest in a mutual fund that's expected to provide a return of 7.5% per year. she plans to retire 30 years from today, when she turns 65, and she expects to live for 25 years after retirement, to age 90. under these assumptions, how much can she spend each year after she retires? her first withdrawal will be made at the end of her first retirement year.