Bavarian Crystal Works designs and produces lead crystal wine decanters for export to international markets. The production manager of Bavarian Crystal Works estimates total and marginal production costs to be

TC = 10,000 + 40Q + 0.0025Q2
and
MC = 40 + 0.005Q

where costs are measured in U. S. dollars and Q is the number of wine decanters produced annually. Because Bavarian Crystal Works is only one of many crystal producers in the world market, it can sell as many of the decanters as it wishes for $50 apiece. Total and marginal revenue are

TR = 50Q and MR = 50

where revenues are measured in U. S. dollars and Q is annual decanter production.
a. What is the optimal level of production of wine decanters? What is the marginal revenue from the last wine decanter sold?
b. What are the total revenue, total cost, and net benefit (profit) from selling the optimal number of wine decanters?
c. Is the optimal profit in answer b good enough to keep Bavarian Crystal Works in the market? Please comment on it.

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 of the following is likely not a benefit of requiring a grand jury to listen to and examine all of the evidence against a person suspected of committing a serious crime and then independently deciding whether or not to hand down an indictment? 1.the grand jury system provides the accused another safeguard against being sent to trial and facing conviction based on flawed evidence. 2.the members of the grand jury are drawn from the community and are empowered to render independent decisions about whether or not the government has collected enough evidence to bring an individual to trial. 3.the grand jury’s decision can provide prosecutors insight into what is necessary to build a sufficient case if a similar crime is presented later. 4.the grand jury is impaneled to rubber-stamp prosecutors’ cases, which makes it possible for more cases to reach trial.

After jeff bezos read about how the internet was growing by 2,000 percent a month, he set out to use the internet as a new distribution channel and founded amazon, which is now the world's largest online retailer. this is clearly an example of a(n)a. firm that uses closed innovation. b. entrepreneur who commercialized invention into an innovation. c. business that entered the industry during its maturity stage. d. exception to the long tail business model