National Scan, Inc., sells radio frequency inventory tags. Monthly sales for a seven-month period were as follows: Month

Sales (000 units)

Feb.

19

Mar.

18

Apr.

15

May

20

Jun.

18

Jul.

22

Aug.

20

a. Plot the monthly data on a sheet of graph paper.

b. Forecast September sales volume using each of the following:

(1) The naive approach.

(2) A five month moving average.

(3) A weighted average using .60 for August, .30 for July, and .10 for June.

(4) Exponential smoothing with a smoothing constant equal to .20, assuming a a March forecast of 19(000).

(5) A linear trend equation.

c. Which method seems least appropriate? Why? ( Hint: Refer to your plot from part a.)

d. What does use of the term sales rather than demand presume?

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.

Any point on a country's production possibilities frontier represents a combination of two goods that an economy:

Motonous corporation has completed its fiscal year and reported the following information. the company had current assets of $153,413, net fixed assets of $ 412,331, and other assets of $7,822. the firm also has current liabilities worth $65,314, long-term debt of $178,334, and common stock of $162,000. how much retained earnings does the firm have?