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Horsing Around makes horse saddles in both a child size and an adult size. Each child saddle requires 20 hours of assembly and 15 hours of finishing. Each adult saddle requires 30 hours of assembly and 10 hours of finishing. The company has a maximum of 300 hours available per week in the assembly department and a maximum of 150 hours per week in the finishing department. The profit for each child saddle is $255 and the profit for each adult saddle is $375. If the company wants to maximize their profit, how many child and adult horse saddles should be produced each week?

Horsing Around makes horse saddles in both a child size and an adult size. Each child saddle requires 20 hours of assembly and 15 hours of finishing. Each adult saddle requires 30 hours of assembly and 10 hours of finishing. The company has a maximum of 300 hours available per week in the assembly department and a maximum of 150 hours per week in the finishing department. The profit for each child saddle is $255 and the profit for each adult saddle is $375. If the company wants to maximize their profit, how many child and adult horse saddles should be produced each week?

Advanced Engineering Mathematics
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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2. Horsing Around makes horse saddles in both a child size and an adult size. Each child saddle requires 20 hours of assembly and 15 hours of finishing. Each adult saddle requires 30 hours of assembly and 10 hours of finishing. The company has a maximum of 300 hours available per week in the assembly department and a maximum of 150 hours per week in the finishing department. The profit for each child saddle is $255 and the profit for each adult saddle is $375. If the company wants to maximize their profit, how many child and adult horse saddles should be produced each week?
Transcribed Image Text:2. Horsing Around makes horse saddles in both a child size and an adult size. Each child saddle requires 20 hours of assembly and 15 hours of finishing. Each adult saddle requires 30 hours of assembly and 10 hours of finishing. The company has a maximum of 300 hours available per week in the assembly department and a maximum of 150 hours per week in the finishing department. The profit for each child saddle is $255 and the profit for each adult saddle is $375. If the company wants to maximize their profit, how many child and adult horse saddles should be produced each week?
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