Question 2: A manufacturing company produces 2 products, air conditioners and fan heaters: Each air-conditioner requires 3 hrs of wiring and 2 hrs drilling. Each heater needs 2 hrs wiring and 1 hr drilling. During the next production period, there are 240 hrs of wiring time available and 140 hours of drilling time. Each air-conditioner sold yields a profit of 25€. Each heater can be sold for 15€. Formulate this production-mix Linear Programming problem and find the combination of air-conditioners and heaters which gives the most profit.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 56P
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Question 2:
A manufacturing company produces 2 products, air conditioners and fan heaters:
Each air-conditioner requires 3 hrs of wiring and 2 hrs drilling.
Each heater needs 2 hrs wiring and 1 hr drilling.
During the next production period, there are 240 hrs of wiring time available and 140 hours of drilling time. Each air-conditioner sold yields a profit of 25€. Each heater can be sold for 15€.
Formulate this production-mix Linear Programming problem and find the combination of air-conditioners and heaters which gives the most profit.
Transcribed Image Text:Question 2: A manufacturing company produces 2 products, air conditioners and fan heaters: Each air-conditioner requires 3 hrs of wiring and 2 hrs drilling. Each heater needs 2 hrs wiring and 1 hr drilling. During the next production period, there are 240 hrs of wiring time available and 140 hours of drilling time. Each air-conditioner sold yields a profit of 25€. Each heater can be sold for 15€. Formulate this production-mix Linear Programming problem and find the combination of air-conditioners and heaters which gives the most profit.
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