Suppose Procter & Gamble sells about 20 million bars of soap per week, but the demand is not constant and production management would like to get a better handle on how sales are distributed over the year. Let the following sales figures given in units of million bars represent the sales of bars per week over 1 year (in no particular order). 17.1 22.3 17 25.2 19.6 12.2 18.3 26.3 15.4 19.9 13.6 23.9 17.4 21.5 39.8 30.6 15 20.4 20.7 25.2 18.5 20.3 21.3 26.2 20.6 15.5 22.5 26.9 18.4 23.6 21.4 32.8 20 19.1 23.4 26.3 20.9 20.4 23.1 26.6 19.3 15.4 22.8 24.3 18.2 20.3 21.4 26.2 14.7 24.4 24 23.8

Required:
a. Construct a histogram chart to represent the data.
b. Creating a chart is not useful in and of itself unless it is properly interpreted. Write a brief analysis of the graph. What do you see in the graph that might be helpful to the production and sales people?

Suppose an economy consists of three sectors: energy (e), manufacturing (m), and agriculture (a). sector e sells 70% of its output to m and 30% to a. sector m sells 30% of its output to e, 50% to a, and retains the rest. sector a sells 15% of its output to e, 30% to m, and retains the rest.

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.

Adamson company manufactures four lines of garden tools. as a result of an activity analysis, the accounting department has identified eight activity cost pools. each of the product lines is produced in large batches, with the whole plant devoted to one product at a time. classify each of the following activities or costs as either unit-level, batch-level, product-level, or facility-level. activities (a) machining parts. (b) product design. (c) plant maintenance. (d) machine setup. (e) assembling parts. (f) purchasing raw materials. (g) property taxes. (h) painting.