ToolsWindowHelpSearchUse linear programming and the graphing approach to find the optimalsolution to the following problem.Transportation: An art history class is planning to rent buses and vans for a trip tothe art gallery in Chicago. A bus can transport 30 students, requires 2 adultsupervisors and costs $550 to rent. A van can transport 10 students, requires 1adult supervisor and costs $175 to rent. The organizers must plan seating toaccommodate at least 180 students. Only 16 parents are available,so the trayel plansmust allow for at most 16 adult supervisors. How many vehicles of each type shouldbe rented to minimize the rental cost? What is the minimum rental cost for the trip?91,9338.108W80O00000F4F2F3F5F6F7F8F9F10244%&57812%#3

Graphical method is one of the methods used to solve linear programming problems. A word…

Answered: Use linear programming and the graphing…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A theater is presenting a program on drinking and driving for students and their parents or other responsible adults. The proceeds will be donated to a local alcohol information center. Admission is $10.00 for adults and $5.00 for students. However, this situation has two constraints: the y heather can hold no more than 210 people and for every two adults, there must be at least one student. How many adults and students should attend to raise the maximum amount of money? To raise the maximum amount of money, how many adults and how many students should attend?
Jubilee Sports is planning to introduce a new line of tennis racquets. The fixed costs for the new line are $30,000 and the variable cost of producing each racket is $70.a) Write the linear cost equation.b) If the racket sells for $120, write the revenue function.c) Write the profit function.d) Find the number of rackets that must be sold in order to break even.e) What profit would be made if 1500 rackets were sold?
A class trip to a beach has been planned for your senior trip. The lifeguard is only on duty when the temperature is between 70 degrees and 105 degrees. There is room for 60 people on your trip. Write the constraints to represent this real-world problem, where x is the temperature and y is the number of people on your trip.
Micah's gym is moving into a bigger space, where he can have more stationary bicycles and treadmills in his gym. Let x be the number of treadmills and y be the number of bicycles. The number of new bicycles must be more than 1/3 times the number of new treadmills. Each bicycle costs $340 and each treadmill costs $670. He must spend less than $5,650. Select ALL the constraints for this situation. 1.) 670x + 340y 0 3.) x > 0 4.) x > 1/3y 5.) 670x + 340y < 5650 6.) y > 1/3x
3. A political toy company manufactures stuffed donkeys and elephants using cotton and polyester. At present, 40 units of cotton and 30 units of polyester are available. A donkey sells for $4 and requires 1 unit of cotton and 1 unit of polyester. An elephant sells for $5 and requires 2 units of cotton and 1 unit of polyester. Formulate an LP that will help the company maximize profit.
Nora, Torvald, and Henrik are using Lone Chooser to divide a large lot of collectible doll houses. There are so many, of such a variety, that we can treat it like cutting a cake without the geometry. Player Role Evaluation of entire lot Nora First Divider $1,200,000 Torvald Second Divider $1,500,000 Henrik Chooser $900,000
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