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The Standard Steel Company produces two products, railroad car wheels and axles. Production requires processing in two departments: the smelting department (department A) and the machining department (department B). Department A has 50 hours available per week, and department B has 43 hours available per week. Manufacturing one axle requires 4 hours in department A and 3 hours in department B, and manufacturing one wheel requires 3 hours in department A and 5 hours in department B. The profits are $300 per axle and $300 per wheel. Find the maximum possible profit and the number of axles and wheels that will maximize the profit. (Use simplex method to solve the optimization problem given)

The Standard Steel Company produces two products, railroad car wheels and axles. Production requires processing in two departments: the smelting department (department A) and the machining department (department B). Department A has 50 hours available per week, and department B has 43 hours available per week. Manufacturing one axle requires 4 hours in department A and 3 hours in department B, and manufacturing one wheel requires 3 hours in department A and 5 hours in department B. The profits are $300 per axle and $300 per wheel. Find the maximum possible profit and the number of axles and wheels that will maximize the profit. (Use simplex method to solve the optimization problem given)

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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The Standard Steel Company produces two products, railroad car wheels and axles. Production requires processing in two departments: the smelting department (department A) and the machining department (department B). Department A has 50 hours available per week, and department B has 43 hours available per week. Manufacturing one axle requires 4 hours in department A and 3 hours in department B, and manufacturing one wheel requires 3 hours in department A and 5 hours in department B. The profits are $300 per axle and $300 per wheel. Find the maximum possible profit and the number of axles and wheels that will maximize the profit. (Use simplex method to solve the optimization problem given)
Transcribed Image Text:The Standard Steel Company produces two products, railroad car wheels and axles. Production requires processing in two departments: the smelting department (department A) and the machining department (department B). Department A has 50 hours available per week, and department B has 43 hours available per week. Manufacturing one axle requires 4 hours in department A and 3 hours in department B, and manufacturing one wheel requires 3 hours in department A and 5 hours in department B. The profits are $300 per axle and $300 per wheel. Find the maximum possible profit and the number of axles and wheels that will maximize the profit. (Use simplex method to solve the optimization problem given)
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