Use linear programming and the graphing approach to find the ontimal solution to the following problem. Transportation: An art history class is planning to rent buses and vans for a trip to the art gallery in Chicago. A bus can transport 30 students, requires 2 adult supervisors and costs $550 to rent. A van can transport 10 students, requires 1 adult supervisor and costs $175 to rent. The organizers must plan seating to accommodate at least 180 students. Only 16 parents are available,so the travel plans must allow for at most 16 adult supervisors. How many vehicles of each type should be rented to minimize the rental cost? What is the minimum rental cost for the trip?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
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Use linear programming and the graphing approach to find the optimal
solution to the following problem.
Transportation: An art history class is planning to rent buses and vans for a trip to
the art gallery in Chicago. A bus can transport 30 students, requires 2 adult
supervisors and costs $550 to rent. A van can transport 10 students, requires 1
adult supervisor and costs $175 to rent. The organizers must plan seating to
accommodate at least 180 students. Only 16 parents are available,so the trayel plans
must allow for at most 16 adult supervisors. How many vehicles of each type should
be rented to minimize the rental cost? What is the minimum rental cost for the trip?
91,933
8.
108
W
80
O00
000
F4
F2
F3
F5
F6
F7
F8
F9
F10
24
4
%
&
5
7
8
12
%#3
Transcribed Image Text:Tools Window Help Search Use linear programming and the graphing approach to find the optimal solution to the following problem. Transportation: An art history class is planning to rent buses and vans for a trip to the art gallery in Chicago. A bus can transport 30 students, requires 2 adult supervisors and costs $550 to rent. A van can transport 10 students, requires 1 adult supervisor and costs $175 to rent. The organizers must plan seating to accommodate at least 180 students. Only 16 parents are available,so the trayel plans must allow for at most 16 adult supervisors. How many vehicles of each type should be rented to minimize the rental cost? What is the minimum rental cost for the trip? 91,933 8. 108 W 80 O00 000 F4 F2 F3 F5 F6 F7 F8 F9 F10 24 4 % & 5 7 8 12 %#3
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