A company is selling face masks to attendees at a concert The marginal cost to produce one mask is $3. The total cost to produce 60 mask is $192. The company sells the mask for $5.00 per mask a) find the linear cost function C(x) b) Find the revenue function R(x) c) How many mask must be made to break even. State in a complete sentence using the context of the problem d) Determine the interval of profit and loss. State in a complete sentence using the context of the problem

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

The vaska company buys a patent on january 1, year one, and agrees to pay $100,000 per year for the next five years. the first payment is made immediately, and the payments are made on each january 1 thereafter. if a reasonable annual interest rate is 8 percent, what is the recorded value of the patent? 1. $378,4252. $431,2133. $468,9504. $500,000

4. suppose that pollution in a neighborhood comes from two factories, with marginal benefit curves given by mb1 = 12 – p1 and mb2 = 8 – p2. the level of pollution in the neighborhood is given by p = p1 + p2. the government wants to limit pollution by instituting a pollution-rights market. the government’s desired level of p is 10, so it prints 10 pollution rights and offers them for sale to the firms.a)find the equilibrium selling price of a pollution right, as well as the allocation of rights (and hence pollution levels) across the two factories. b)repeat part (a) for the case where the government’s desired level of pollution equals 14. c)comment on the usefulness of a pollution rights market in achieving efficient levels of pollution abatement.