A large cable company reports the following: • 80% of its customers subscribe to cable TV service
• 42% of its customers subscribe to Internet service
• 32% of its customers subscribe to telephone service
• 25% of its customers subscribe to both cable TV and Internet service
• 21% of its customers subscribe to both cable TV and phone service
• 23% of its customers subscribe to both Internet and phone service
• 15% of its customers subscribe to all three services

Afirm produces a product in a competitive industry and has a total cost function (tc) of tc(q) = 60 + 10q + 2q2 and a marginal cost function (mc) of mc(q) = 10 + 4q. at the given market price (p) of $20, the firm is producing 5.00 units of output. is the firm maximizing profit? no what quantity of output should the firm produce in the long run? the firm should produce unit s) of output. (enter your response as an integer.)

Each of the following scenarios is based on facts in anactual fraud. categorize each scenario as primarily indicating (1) anincentive to commit fraud, (2) an opportunity to commit fraud, or(3) a rationalization for committing fraud. also state your reasoningfor each scenario. a. there was intense pressure to keep the corporation ' stock from declining further. this pressure came from investors, analysts, and the ceo, whose financial well-being was significantly dependent on the corporation ' s stock price. b. a group of top-level management was compensated (mostly in the form of stock-options) well in excess of what would be considered normal for their positions in this industry. c. top management of the company closely guards internal financial information, to the extent that even some employees on a “need-to-know basis” are denied full access. d. managing specific financial ratios is very important to the company, and both management and analysts are keenly observant of variability in key ratios. key ratios for the company changed very little even though the ratios for the overall industry were quite volatile during the time period. e. in an effort to reduce certain accrued expenses to meet budget targets, the cfo directs the general accounting department to reallocate a division’s expenses by a significant amount. the general accounting department refuses to acquiesce to the request, but the journal entry is made trough the corporate office. an accountant in the general accounting department is uncomfortable with the journal entries required to reallocate divisional expenses. he brings his concerns to the cfo, who assures him that everything will be fine and that the entries are necessary. the accountant considers resigning, but he does not have another job lined up and is worried about supporting his family. therefore, he never voices his concerns to either the internal or external auditors. f. accounting records were either nonexistent or in a state of such disorganization that significant effort was required to locate or compile them.

(30 total points) suppose a firm’s production function is given by q = l1/2*k1/2. the marginal product of labor and the marginal product of capital are given by: mpl = 1/ 2 1/ 2 2l k , and mpk = 1/ 2 1/ 2 2k l . a) (12 points) if the price of labor is w = 48, and the price of capital is r = 12, how much labor and capital should the firm hire in order to minimize the cost of production if the firm wants to produce output q = 18?