Macro farms Ltd can purchase two types of fertilizer which contain the following percentage                                        Nitrate        Phosphate       Potash                 Type X              18                    5                      2                  Type Y               3                   2                       5 For certain type of crop, the following minimum quantities (kg) are required                                       Nitrate         Phosphate      Potash                                         100                 50                  40               Type X cost GHS10 per kg and type Y cost GHS5 per kg. The company currently buys 1,000 kg of each type and wishes to minimize it expenditure on fertilizers. Required 1. Construct a linear programming model for the above problem 2. Solve the model graphically

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.5: Systems Of Inequalities
Problem 9ECP
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Macro farms Ltd can purchase two types of fertilizer which contain the following percentage

                                       Nitrate        Phosphate       Potash

                Type X              18                    5                      2

                 Type Y               3                   2                       5


For certain type of crop, the following minimum quantities (kg) are required
                                      Nitrate         Phosphate      Potash

                                        100                 50                  40              

Type X cost GHS10 per kg and type Y cost GHS5 per kg. The company currently buys 1,000 kg of each type and wishes to minimize it expenditure on fertilizers.
Required


1. Construct a linear programming model for the above problem


2. Solve the model graphically 

 

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