The officers of a high school senior class are planning to rent buses and vans for a class trip.Each bus can transport 80 students, requires 5 chaperones, and costs $1,000 to rent. Each vancan transport 10 students, requires 1 chaperone, and costs $80 to rent. Since there are 640students in the senior class that may be eligible to go on the trip, the officers must plan toaccommodate at least 640 students. Since only 55 parents have volunteered to serve aschaperones, the officers must plan to use at most 55 chaperones. How many vehicles of eachtype should the officers rent in order to minimize the transportation costs? What are the minimaltransportation costs?The officers should rentbuses andvans to minimize the transportation costs.

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Answered: The officers of a high school senior…

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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Hello Dolly, Inc. crafts three styles of dolls: Lexi, Maysy, and Dizzy. Each doll requires sewing time, painting time, and supplies. Sewing machines are available for only 238.5 hours, only 3325 hours are available for painting, and 684 lbs. of supplies are available. Each Lexi doll requires 0.6 hours of sewing, 10 hours of painting, and 1.8 lbs. of supplies. Each Maysy doll requires 0.8 hours of sewing, 8 hours of painting, and uses 2.4 pounds of supplies. Each Dizzy doll requires 0.5 hours of sewing, 9 hours of painting, and 1.2 pounds of supplies. If the company earns a profit of $135 per Lexi doll, $155 per Maysy doll, and $160 per Dizzy doll, how many of each doll should the company produce to maximize profit? How much profit will result? (Use a for the number of Lexi dolls, y for the number of Maysy dolls, and z for the number of Dizzy dolls.) Maximize P= 135x + 155y + 160z✓ subject to 0.6x +0.8y +0.5z 238.5 <3325 684 10x+8y +9z 1.8z +2.4y+1.2z✓ Enter the solution to the simplex…
Assume that the camper has 5 jackets, 3 sleeping bags, and 14 different packages of food. An outfit consists of 2 jackets, 2 sleeping bags, and 4 packets of food. How many ways can the trip be outfitted?
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The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 70 students, requires 5 chaperones, and costs $1,400 to rent. Each van can transport 10 students, requires 1 chaperone, and costs $90 to rent. Since there are 700 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 700 students. Since only 60 parents have volunteered to serve as chaperones, the officers must plan to use at most 60 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs? The officers should rent buses and vans to minimize the transportation costs.
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Mr. Smith decides to organize a potluck party with neighbors on a weekend. John Smith and his wife Mary Smith and his daughter Judy Smith will prepare three different salad dishes. John's right side neighbor Jenny Jones and Bob Jones will prepare two desserts. John's left side neighbor Linda will prepare one meat dish. John's cross street neighbor Sue will prepare soup. John wants to figure out how many different ways for him to taste all dishes in order (assuming he will taste all salads, meat, desserts and soup). (Note : For example, "Salad, Soup, Salad, Meat, Dessert, Salad, Dessert" is one of the possible order he can try.
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The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 72 students, requires 5 chaperones, and costs $1,400 to rent. Each van can transport 8 students, requires 1 chaperone, and costs $120 to rent. Since there are 432 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 432 students. Since only 50 parents have volunteered to serve as chaperones, the officers must plan to use at most 50 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs? The officers should rent buses and The minimal transportation costs are $ vans to minimize the transportation costs.
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