A monopolistic company has to spend exactly $3000 as total cost for the production of a number of Basic Science and Mathematics textbooks for three schools. The Basic Science textbook sells at P1 = 455 – Q1 – Q2 and the Mathematics textbook at P2 = 910 – Q1 – 4Q2 where P1 and P2 denote the prices; Q1 and Q2 denote the number of Basic science and mathematics textbooks produced respectively. The joint cost of producing these textbooks is given as TC = 5Q1 + 10Q2 (i) Find the maximum profit the producer can make (ii) Estimate the new profit if the company decides to reduce the total cost by $50 (Assume that 2nd order conditions are satisfied)​

Jing-sheng facilitated a hiring committee for his advertising company. six employees (including two managers) met together to discuss applicants and select the finalists for a copywriter position in the public relations department. although the head of public relations would have the final nod on the candidate that would ultimately be hired, the evaluative work of the committee was very important because this group would send forward those persons they believed would be good work colleagues. in setting up this type of hiring process, the head of public relations was utilizing a(n) style of leadership.a. autocraticb. free-reinc. contingentd. participative

Arival company manufactures fuel tanks for cars using a different production technique. the total weekly cost (in dollars) of producing x tanks is given by c(x) = 10000 +90x - 0.04x2 find the marginal cost at a production level of 500 fuel tanks per week to approximate the cost of the 501st unit (round to the nearest 2 decimal places, if needed)

Cosmetic profits. sally is the executive vice president of big name cosmetics company. through important and material, nonpublic information, she learns that the company is soon going to purchase a smaller chain of stores. it is expected that stock in big name cosmetics will rise dramatically at that point. sally immediately buys a number of shares of her company's stock. she also tells her friend alice about the expected purchase of stores. alice wanted to purchase stock in the company but lacked the funds with which to do so. although she did not have the funds in bank a, alice decided to draw a check on bank a and deposit the check in bank b and then proceed to write a check on bank b to cover the purchase of the stock. she hoped that she would have sufficient funds to deposit before the check was presented for payment. of which of the following offenses, if any, is alice guilty of by buying stock?