APPLICATION The Cruisin Along Company is determining prices for its Caribbean cruise

Chapter 9, Problem 9

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APPLICATION The Cruisin Along Company is determining prices for its Caribbean cruise packages. The basic price is $2,500 per person. However, business is slow. To attract corporate clients, the company reduces the price of each ticket by $5 for each person in the group. The larger the group, the less each person pays. a. Define variables and write an equation for the price of a single ticket. b. Write an equation for the total price the company charges for a group package. c. Convert the equation in 9b to vertex form. d. What is the total price of a cruise for a group of 20 people? e. The company accountant reports that the cost of running a cruise is $200,000. Solve the equation x(2500 5x) = 200,000 by completing the square. f. What limitations on group size should the cruise company use in order to make a profit?

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