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 you offer in order to make a $20,000 profit.
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 you offer in order to make a $20,000 profit.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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