Chapter 10, Problem 6P

Concert Tickets You are selling seats at an upcoming concert. The concert hall has a total of 8,500 seats, which will include reserved seats and general admission seats. You're selling reserved seats for $9 each and general admission seats for $5 each and are trying to decide how many of each kind of seat to offer. You want to make money on the concert, but also want people who can't afford the more expensive seats to come. You estimate your expenses for putting on the concert to be $50,000. You are hoping to make a profit, or at least break even. Assuming that you sell out the concert: a. Determine an equation for your revenue and profit as a function of the number of reserved seats you offer. b. Graph your revenue and profit equations on the same graph. What do you notice about the two functions? What does the slope of the lines represent in this situation? c. Determine how many reserved seats you would need to offer in order to break even. d. Determine how many reserved seats must…

Donuts are a big thing in Portland, OR. You go into one of the many donut establishments to purchase some number of these tasty (and even vegan or gluten free if required) treats. Let's say that the first donut has higher utility for you, so you are willing to pay up to $2 for it. For the second donut you are willing to pay $1.50, the third $1, a fourth $0.50 and the fifth $0.00. This particular bakery in Portland charges an average of $1 per donut. If you are a rational buyer (which can be hard when faced with so many different delicious donuts) then how many donuts do you purchase, and how much consumer surplus (i.e., money saved compared to what you were willing to spend) do you have? O 4 donuts, $5 O 2 donuts, $5 O 3 donuts, $1.50 O 1 donut, $0.50

Why would someone disagree with your preferred preference?