You want to have $5 million when you retire in 40 years. you believe you can earn 9 percent per year on your investment. how much must you invest each year to achieve your goal when you retire? (ignore all taxes.)

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.

Special order carson manufacturing, inc., sells a single product for $36 per unit. at an operating level of 8,000 units, variable costs are $18 per unit and fixed costs $10 per unit. carson has been offered a price of $20 per unit on a special order of 2,000 units by big mart discount stores, which would use its own brand name on the item. if carson accepts the order, material cost will be $3 less per unit than for regular production. however, special stamping equipment costing $4,000 would be needed to process the order; the equipment would then be discarded. assuming that volume remains within the relevant range, prepare an analysis of differential revenue and costs to determine whether carson should accept the special order. use a negative sign with answer to only indicate an income loss from special order; otherwise do not use negative signs with your answers.

Which of the following would not be listed under cash outflows in a financial plan?