A single-channel queuing system has an average service time of 10 minutes and an average time between customer arrivals of 15 minutes. Service times and inter-arrival times both have exponential distributions. Find:

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.

Eliza works for a consumer agency educating young people about advertisements. instead of teaching students to carefully read advertisement claims, she encourages them to develop a strong sense of self and to keep their life goals and dreams separate from commercial products. why might eliza's advice make sense?

In myanmar, six laborers, each making the equivalent of $ 2.50 per day, can produce 40 units per day. in china, ten laborers, each making the equivalent of $ 2.25 per day, can produce 48 units. in billings comma montana, two laborers, each making $ 60.00 per day, can make 102 units. based on labor cost per unit only, the most economical location to produce the item is china , with a labor cost per unit of $ . 05. (enter your response rounded to two decimal places.)