Apension fund manager decides to invest a total of at most $40 million in u. s. treasury bonds paying 4% annual interest and in mutual funds paying 7% annual interest. he plans to invest at least $5 million in bonds and at least $20 million in mutual funds. bonds have an initial fee of $100 per million dollars, while the fee for mutual funds is $200 per million. the fund manager is allowed to spend no more than $7000 on fees. how much should be invested in each to maximize annual interest? what is the maximum annual interest?

Long-distance providers are becoming increasingly concerned about certain activities within their industry. various companies come together voluntarily to implement new standards of social responsibility that members must abide by. what seems to be the primary motivation in this case for an increased interest in social responsibility? - because corporations are creations of society, they are responsible for giving back to the communities in which they operate.- these companies have realized it is in their best interest to increase their social responsibility before they are once again subject to stricter regulations.- these companies are using social responsibility as a means to increase their profitability, both short term and long term.- long-distance providers have started taking pride in their industry and its record for social responsibility.- they feel a responsibility to their stockholders, employees, the government, investors, and society as a whole.

For many years, kellogg's frosted flakes, a ready-to-eat breakfast cereal, was perceived as a cereal for children. tony the tiger, a cartoon character, extolled frosted flakes, and advertisements depicted children enjoying the product with tony in competitive situations. recently, in response to declining sales of frosted flakes, the cereal maker has adopted a new series of advertisements that show adults admitting that they enjoy frosted flakes, too. kellogg's is attempting to

5. profit maximization and shutting down in the short run suppose that the market for polos is a competitive market. the following graph shows the daily cost curves of a firm operating in this market. 0 2 4 6 8 10 12 14 16 18 20 50 45 40 35 30 25 20 15 10 5 0 price (dollars per polo) quantity (thousands of polos) mc atc avc for each price in the following table, calculate the firm's optimal quantity of units to produce, and determine the profit or loss if it produces at that quantity, using the data from the previous graph to identify its total variable cost. assume that if the firm is indifferent between producing and shutting down, it will produce. (hint: you can select the purple points [diamond symbols] on the previous graph to see precise information on average variable cost.) price quantity total revenue fixed cost variable cost profit (dollars per polo) (polos) (dollars) (dollars) (dollars) (dollars) 12.50 135,000 27.50 135,000 45.00 135,000 if the firm shuts down, it must incur its fixed costs (fc) in the short run. in this case, the firm's fixed cost is $135,000 per day. in other words, if it shuts down, the firm would suffer losses of $135,000 per day until its fixed costs end (such as the expiration of a building lease). this firm's shutdown price—that is, the price below which it is optimal for the firm to shut down—is per polo.