The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 63 students, requires 3 chaperones, and costs $1,300 to rent. Each van can transport 9students, requires 1 chaperone, and costs $80 to rent. Since there are 567 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 567 students. Sinceonly 39 parents have volunteered to serve as chaperones, the officers must plan to use at most 39 chaperones. How many vehicles of each type should the officers rent in order to minimize thetransportation costs? What are the minimal transportation costs?The officers should rent buses andvans to minimize the transportation costs

The objective here is to find how many number of each type should the officers rent in order to…

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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The freshman class of 175 students went on a field trip. For transportation, they needed both vans (which hold 5 students each) and buses (which hold 35 students each). There was a total of 11 vehicles used.
Last year's freshman class at big state university totaled 5,304 students. Of those, 1,257 received a merit scholorship to help offset tuituon costs their freshman year (although the amount varied per student). The amount a student recieved was N($3,443, $450). If the cost of full tuition was $4,500 last year, what percentage of students who recieved a merit scholarship did not recieve enough to cover full tuition? (Round your answer to the nearest whole percent.)
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…
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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 118 hours, only 2805 hours are available for painting, and 390.5 lbs. of supplies are available. Each Lexi doll requires 0.2 hours of sewing, 9 hours of painting, and 0.7 lbs. of supplies. Each Maysy doll requires 0.4 hours of sewing, 10 hours of painting, and uses 0.9 pounds of supplies. Each Dizzy doll requires 0.5 hours of sewing, 7 hours of painting, and 2 pounds of supplies. If the company earns a profit of $145 per Lexi doll, $155 per Maysy doll, and $150 per Dizzy doll, how many of each doll should the company produce to maximize profit? How much profit will result? (Use for the number of Lexi dolls, y for the number of Maysy dolls, and z for the number of Dizzy dolls.) Maximize P = subject to ≤118 ≤2805 <390.5 Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes…
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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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