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A manufacturing firm produces three products A, B, and C, each of which need to be processed in three departments, milling, grinding, and packaging. Each unit of Product A requires 4, 5, and 3 hours in each of the three departments. Likewise, Product B requires 8, 5, and 5 hours, while Product R requires 2, 5, and 6 hours in the three departments respectively. Every day (90+X), (105+X), and (150+X) hours are available in the three departments. The unit contribution of the products A, B, and C is Rs. 6, Rs. 12, and Rs. 8 respectively. Formulate the given problem as an LPP and find the solution.

A manufacturing firm produces three products A, B, and C, each of which need to be processed in three departments, milling, grinding, and packaging. Each unit of Product A requires 4, 5, and 3 hours in each of the three departments. Likewise, Product B requires 8, 5, and 5 hours, while Product R requires 2, 5, and 6 hours in the three departments respectively. Every day (90+X), (105+X), and (150+X) hours are available in the three departments. The unit contribution of the products A, B, and C is Rs. 6, Rs. 12, and Rs. 8 respectively. Formulate the given problem as an LPP and find the solution.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 66P
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A manufacturing firm produces three products A, B, and C, each of which need to be processed in three departments, milling, grinding, and packaging. Each unit of Product A requires 4, 5, and 3 hours in each of the three departments. Likewise, Product B requires 8, 5, and 5 hours, while Product R requires 2, 5, and 6 hours in the three departments respectively. Every day (90+X), (105+X), and (150+X) hours are available in the three departments. The unit contribution of the products A, B, and C is Rs. 6, Rs. 12, and Rs. 8 respectively. Formulate the given problem as an LPP and find the solution.
Transcribed Image Text:A manufacturing firm produces three products A, B, and C, each of which need to be processed in three departments, milling, grinding, and packaging. Each unit of Product A requires 4, 5, and 3 hours in each of the three departments. Likewise, Product B requires 8, 5, and 5 hours, while Product R requires 2, 5, and 6 hours in the three departments respectively. Every day (90+X), (105+X), and (150+X) hours are available in the three departments. The unit contribution of the products A, B, and C is Rs. 6, Rs. 12, and Rs. 8 respectively. Formulate the given problem as an LPP and find the solution.
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