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A paper tissue factory produces three models (I,II,III) of tissues using two types of raw materials A,B, noting that the available quantities of each type are 120000,15500 units of A,B respectively. The following table shows the quantities required of each type of raw materials to produce the three products if the time required for each unit of the first model is twice the time required for a unit of The second model and three times the time required for a unit of the third model Requirements for each unit of the three model types What is available of raw materials each type of I III raw material A 7 3 5 12000 B 4 2 7 15500 The operating capacity of the factory can produce the equivalent of 300 unit of the first model. The market study of the governorates of Iraq indicated that the minimum required for each type is 200,200,150 unit respectively. If the profit of one unit of the three types in a row is 3,2,6 thousand dinars, what is required is to write the above problem in a linear programming format. To determine the number of manufactured units of each model so that the company obtains the greatest possible profit.

A paper tissue factory produces three models (I,II,III) of tissues using two types of raw materials A,B, noting that the available quantities of each type are 120000,15500 units of A,B respectively. The following table shows the quantities required of each type of raw materials to produce the three products if the time required for each unit of the first model is twice the time required for a unit of The second model and three times the time required for a unit of the third model Requirements for each unit of the three model types What is available of raw materials each type of I III raw material A 7 3 5 12000 B 4 2 7 15500 The operating capacity of the factory can produce the equivalent of 300 unit of the first model. The market study of the governorates of Iraq indicated that the minimum required for each type is 200,200,150 unit respectively. If the profit of one unit of the three types in a row is 3,2,6 thousand dinars, what is required is to write the above problem in a linear programming format. To determine the number of manufactured units of each model so that the company obtains the greatest possible profit.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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A paper tissue factory produces three models (I,II,III) of tissues using two types of raw materials A,B, noting that the available quantities of each type are 120000,15500 units of A,B respectively. The following table shows the quantities required of each type of raw materials to produce the three products if the time required for each unit of the first model is twice the time required for a unit of The second model and three times the time required for a unit of the third model Requirements for each unit of the three model types What is available of raw materials each type of | || III raw material A 7 3 5 12000 B 4 2 7 15500 The operating capacity of the factory can produce the equivalent of 300 unit of the first model. The market study of the governorates of Iraq indicated that the minimum required for each type is 200,200,150 unit respectively. If the profit of one unit of the three types in a row is 3,2,6 thousand dinars, what is required is to write the above problem in a linear programming format. To determine the number of manufactured units of each model so that the company obtains the greatest possible profit.
Transcribed Image Text:A paper tissue factory produces three models (I,II,III) of tissues using two types of raw materials A,B, noting that the available quantities of each type are 120000,15500 units of A,B respectively. The following table shows the quantities required of each type of raw materials to produce the three products if the time required for each unit of the first model is twice the time required for a unit of The second model and three times the time required for a unit of the third model Requirements for each unit of the three model types What is available of raw materials each type of | || III raw material A 7 3 5 12000 B 4 2 7 15500 The operating capacity of the factory can produce the equivalent of 300 unit of the first model. The market study of the governorates of Iraq indicated that the minimum required for each type is 200,200,150 unit respectively. If the profit of one unit of the three types in a row is 3,2,6 thousand dinars, what is required is to write the above problem in a linear programming format. To determine the number of manufactured units of each model so that the company obtains the greatest possible profit.
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