You are willing to pay $15 to see a movie that came with a free bag of popcorn. it is also true that you are willing to pay $3 for a bag of popcorn alone (if it was not included in the ticket price) and $12 for the movie alone. assume the actual cost of a movie ticket is $10 and the cost of a bag of popcorn is $4 and they can be purchased individually. you should:

Suppose a ceiling fan manufacturer has the total cost function c(x) = 48x + 1485 and the total revenue function r(x) = 75x. (a) what is the equation of the profit function p(x) for this commodity? p(x) = (b) what is the profit on 35 units? p(35) = interpret your result. the total costs are less than the revenue. the total costs are more than the revenue. the total costs are exactly the same as the revenue. (c) how many fans must be sold to avoid losing money? fans

At a roundabout, you must yield to a. already in the roundaboutb. entering the roundaboutc. only if their turn signal is ond. only if they honk at you

Over the past year, three of the star salesmen at family resorts international's corporate office have been lured away to competitors. on top of that, karina, the general manager of the sales department, has noticed that most employees come in, do their jobs, and leave. family resorts offers a good salary, benefits, and tuition reimbursement, as well as a number of development and training programs. most employees seem contented enough, but karina would like to do something to increase the level of engagement among her staff. what do you think karina should do?