When set at the standard position, autopitch can throw hard balls toward a batter at an average speed of 60 mph. autopitch devices are made for both major- and minor-league teams to them improve their batting averages. autopitch executives take samples of 10 autopitch devices at a time to monitor these devices and to maintain the highest quality. the average range is 3 mph. using control-chart techniques; determine control-chart limits for averages and ranges for autopitch.

Which of the following best explains cost-push inflation? a. increasing wages for workers drive up the cost of production, forcing producers to charge more to meet their costs. b. consumers demand goods faster than they can be supplied, increasing competition among buyers. c. rising prices for goods and services reduce spending power and cut into consumer demand. d. wages drop so that workers have to spend a higher percentage of income on the cost of necessities.2b2t

Guardian inc. is trying to develop an asset-financing plan. the firm has $450,000 in temporary current assets and $350,000 in permanent current assets. guardian also has $550,000 in fixed assets. assume a tax rate of 40 percent. a. construct two alternative financing plans for guardian. one of the plans should be conservative, with 70 percent of assets financed by long-term sources, and the other should be aggressive, with only 56.25 percent of assets financed by long-term sources. the current interest rate is 12 percent on long-term funds and 7 percent on short-term financing. compute the annual interest payments under each plan.

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.