For Exercises, identify the objective function and constraints of the linear programming problem. Then solve the problem and interpret the real-world meaning of the results.
Transportation Costs A high school PTA in southern Florida is planning an overnight trip to Orlando, Florida, for its graduating class. A Plus Transportation, a local charter transportation company, offers the following rates (as of December 2003):
Vehicle Capacity | Overnight Charter Rate (for 2 Days of Service) |
10 | $625 |
57 | $1995 |
Source: wvw.buscharter.net.
The school anticipates that 153 students will go on the trip. Each 10-passenger vehicle requires one chaperone, and each 57-passenger vehicle requires six chaperones. (The chaperones will be traveling with the students.) At most 24 chaperones are available to go on the trip. How many of each type of vehicle should the PTA charter in order to minimize transportation costs?
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