A monopolist's demand function is P = 1624 - 4Q, and its total cost function is TC = 22,000 + 24Q -4Q2 + 1/3 Q3, where Q is output produced and sold. 1. At what level of output and sales (Q) and price (P) will total profits be maximized?

2. At what level of output and sales (Q) and price (P) will total revenue be

maximized?

3.At what price (P) should the monopolist shut down?

Aland development company purchases several acres of land adjacent to a wildlife reserve. it plans to build a new community, complete with shops and schools. green sands, a local environmental group, complains that the company's proposed building methods will disrupt the area's ecological balance. the company wants to respect the local ecology but also wants to build its development. the company decides to schedule a meeting with green sands's representatives to make choices about the property that are agreeable to both sides. which strategy would be most effective in this situation?

Ms. sophia jones, the company president, has heard that there are multiple breakeven points for every product. she does not believe this and has asked you to provide the evidence of such a possibility. some information about the company for 2017 is as follows:

Abakery wants to determine how many trays of doughnuts it should prepare each day. demand is normal with a mean of 5 trays and standard deviation of 1 tray. if the owner wants a service level of at least 95%, how many trays should he prepare (rounded to the nearest whole tray)? assume doughnuts have no salvage value after the day is complete.