A factory manufactures three products. These products are processed through 3

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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A factory manufactures three products. These products are processed through 3 different conduction stages.
The time required to manufacture each of these 3 products and the daily capacity of the stages are given by
the following data
Time per unit (minutes)
stage Product 1 Product 2 Product 3 Stage capacity min/day
1
1
1
430
2
3
2
460
3
1
4
420
Use simplex method to determine the daily number of units to be manufactured of each product given
that the profit per unit for product 1, 2 and 3 are 3, 2 and 5 respectively. Assume that all amounts
produced are consumed by the market. Fully interpret your solution.
Transcribed Image Text:A factory manufactures three products. These products are processed through 3 different conduction stages. The time required to manufacture each of these 3 products and the daily capacity of the stages are given by the following data Time per unit (minutes) stage Product 1 Product 2 Product 3 Stage capacity min/day 1 1 1 430 2 3 2 460 3 1 4 420 Use simplex method to determine the daily number of units to be manufactured of each product given that the profit per unit for product 1, 2 and 3 are 3, 2 and 5 respectively. Assume that all amounts produced are consumed by the market. Fully interpret your solution.
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