Which of these is not one of the five principles of communication?
a. listen and respond thoughtfully to others
b. effectively use and interpret non-verbal messages
c. appropriately adapt messages to others
d. use sarcasm and verbal cues to improve messages

Anew equipment has been proposed by engineers to increase the productivity of a certain manual welding operation. the investment cost is $25,000, and the equipment will have a market value of $5,000 at the end of a study period of five years. increased productivity attributable to the equipment will amount to $10,000 per year after operating costs have been subtracted from the revenue generated by the additional production. if marr is 10%, is investing in this equipment feasible? use annual worth method.

You have just received notification that you have won the $2.0 million first prize in the centennial lottery. however, the prize will be awarded on your 100th birthday (assuming you're around to collect), 66 years from now. what is the present value of your windfall if the appropriate discount rate is 8 percent?

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.