A supplier to Toyota stamps out parts using a press. Changing a part type requires the supplier to change the die on the press. This changeover currently takes four hours. The supplier estimates that each hour spent on the changeover costs $250. Demand for parts is 1,000 per month. Each part costs the supplier $100, and the supplier incurs an annual holding cost of 25%.
a. Determine the optimal production batch size for the supplier.
b. Toyota wants the supplier to reduce its batch size by a factor of 2; that is, if the supplier currently produces Q parts per batch, Toyota would like them to produce Q/2 parts per batch. What should the supplier do in order to make this amount optimal for him? (In other words, what setup time creates a scenario in which the optimal batch size drops to 1/2 of its current level?)

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.

Which stage of group development involves members introducing themselves to each other?

Margaret company reported the following information for the current year: net sales $3,000,000 purchases $1,957,000 beginning inventory $245,000 ending inventory $115,000 cost of goods sold 65% of sales industry averages available are: inventory turnover 5.29 gross profit percentage 28% how do the inventory turnover and gross profit percentage for margaret company compare to the industry averages for the same ratios? (round inventory turnover to two decimal places. round gross profit percentage to the nearest percent.)