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Max availability per day 300 500 450 70 80 Item input (in units) to make one unit of Item A B с D E F G RM1 0.3 0.2 0.2 0.3 0.2 0.1 0.1 RM2 0.2 0.4 0.4 0.1 0.4 0.3 0.4 RM3 0.3 0.2 0.1 0.2 0.2 0.3 0.1 M1-time (hours) 0.02 0.03 0.04 0.01 0.03 0.02 0.03 M2-time (hours) 0.05 0.02 0 0.06 0.04 0.02 0.05 Profit (unit) 13 10 7 20 14 10 19 The production manager has identified an arrangement by which the time of either M1 or M2 can be increased by 20 hours/day, but with the cost of $150/day. Is it worth accepting this arrangement?

Max availability per day 300 500 450 70 80 Item input (in units) to make one unit of Item A B с D E F G RM1 0.3 0.2 0.2 0.3 0.2 0.1 0.1 RM2 0.2 0.4 0.4 0.1 0.4 0.3 0.4 RM3 0.3 0.2 0.1 0.2 0.2 0.3 0.1 M1-time (hours) 0.02 0.03 0.04 0.01 0.03 0.02 0.03 M2-time (hours) 0.05 0.02 0 0.06 0.04 0.02 0.05 Profit (unit) 13 10 7 20 14 10 19 The production manager has identified an arrangement by which the time of either M1 or M2 can be increased by 20 hours/day, but with the cost of $150/day. Is it worth accepting this arrangement?

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 73P
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Max availability per day 300 500 450 70 80 Item input (in units) to make one unit of Item A B с D E F G RM1 0.3 0.2 0.2 0.3 0.2 0.1 0.1 RM2 0.2 0.4 0.4 0.1 0.4 0.3 0.4 RM3 0.3 0.2 0.1 0.2 0.2 0.3 0.1 M1-time (hours) 0.02 0.03 0.04 0.01 0.03 0.02 0.03 M2-time (hours) 0.05 0.02 0 0.06 0.04 0.02 0.05 Profit (unit) 13 10 7 20 14 10 19 The production manager has identified an arrangement by which the time of either M1 or M2 can be increased by 20 hours/day, but with the cost of $150/day. Is it worth accepting this arrangement?
Transcribed Image Text:Max availability per day 300 500 450 70 80 Item input (in units) to make one unit of Item A B с D E F G RM1 0.3 0.2 0.2 0.3 0.2 0.1 0.1 RM2 0.2 0.4 0.4 0.1 0.4 0.3 0.4 RM3 0.3 0.2 0.1 0.2 0.2 0.3 0.1 M1-time (hours) 0.02 0.03 0.04 0.01 0.03 0.02 0.03 M2-time (hours) 0.05 0.02 0 0.06 0.04 0.02 0.05 Profit (unit) 13 10 7 20 14 10 19 The production manager has identified an arrangement by which the time of either M1 or M2 can be increased by 20 hours/day, but with the cost of $150/day. Is it worth accepting this arrangement?
A company manufactures seven different products: A, B, C, D, E, F, and G. Each product can be manufactured using two types of machines: M1 and M2. In addition, each product is made from three different raw materials RM1, RM2, and RM3. Moreover, the demand of: (i) product A should be at least 200 units, (ii) products B and E is limited to 800 and 400, respectively, and (iii) remaining products is unlimited. Relevant data is given in the table below.
Transcribed Image Text:A company manufactures seven different products: A, B, C, D, E, F, and G. Each product can be manufactured using two types of machines: M1 and M2. In addition, each product is made from three different raw materials RM1, RM2, and RM3. Moreover, the demand of: (i) product A should be at least 200 units, (ii) products B and E is limited to 800 and 400, respectively, and (iii) remaining products is unlimited. Relevant data is given in the table below.
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