8. A factory manufactures two products, each requiring the use of three machines. The first machine can be used at most 70 hours, the second machine at most 40 hours, and the third machine at most 90 hours. The first product requires 2 hours on machine 1, 1 hour on machine 2. and 1 hour on machine 3; the second product requires 1 hour each on machines 1 and 2, and 3 hours on machine 3. If the profit is $40 per unit for the first product and $60 per unit for the second product, how many units of each product should be manufactured to maximize profit?
8. A factory manufactures two products, each requiring the use of three machines. The first machine can be used at most 70 hours, the second machine at most 40 hours, and the third machine at most 90 hours. The first product requires 2 hours on machine 1, 1 hour on machine 2. and 1 hour on machine 3; the second product requires 1 hour each on machines 1 and 2, and 3 hours on machine 3. If the profit is $40 per unit for the first product and $60 per unit for the second product, how many units of each product should be manufactured to maximize profit?
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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8. A factory manufactures two products, each requiring the use of three machines. The first machine can be used at most 70 hours, the second machine at most 40 hours, and the third machine at most 90 hours. The first product requires 2 hours on machine 1, 1 hour on machine 2. and 1 hour on machine 3; the second product requires 1 hour each on machines 1 and 2, and 3 hours on machine 3. If the profit is $40 per unit for the first product and $60 per unit for the second product, how many units of each product should be manufactured to maximize profit?
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