Q/1 An industrialist that operates four machines to produce two types of products. The production capacity of the machines (unit / day) and their operating costs are shown in the table below: Products Operation Cost (1.D./day) 2000 machines II 5 3 II II 2200 1800 IV 8 1600 The industrialist decided that his production of the first product is not less than 60 units / week, and his production of the second product does not exceed 75 units / week, write the mathematical model of linear programming to determine the number of working days for each machine during the week to reduce the total costs

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Q/1
An industrialist that operates four machines to produce two types of
products. The production capacity of the machines (unit / day) and their
operating costs are shown in the table below:
Operation Cost
(1.D./day)
2000
2200
1800
Products
II
machines
II
II
3
IV
8
1600
The industrialist decided that his production of the first product is not
less than 60 units / week, and his production of the second product does
not exceed 75 units / week, write the mathematical model of linear
programming to determine the number of working days for each
machine during the week to reduce the total costs
Transcribed Image Text:Q/1 An industrialist that operates four machines to produce two types of products. The production capacity of the machines (unit / day) and their operating costs are shown in the table below: Operation Cost (1.D./day) 2000 2200 1800 Products II machines II II 3 IV 8 1600 The industrialist decided that his production of the first product is not less than 60 units / week, and his production of the second product does not exceed 75 units / week, write the mathematical model of linear programming to determine the number of working days for each machine during the week to reduce the total costs
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