actory 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 in E40 per unit for the first product and E60 per unit for the second product, how many units of each product should be manufactured to maximize profit
actory 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 in E40 per unit for the first product and E60 per unit for the second product, how many units of each product should be manufactured to maximize profit
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 24EQ: Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry...
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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 in E40 per unit for the first product and E60 per unit for the
second product, how many units of each product should be manufactured to maximize profit?
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