Question
In: Operations Management
Solve the following LP problem using the Solver in MS Excel. A farmer wants to customize...
Solve the following LP problem using the Solver in MS Excel.
A farmer wants to customize his fertilizer for his current crop. He can buy plant food mix A and plant food mix B. Each cubic yard of food A contains 20 pounds of phosphoric acid, 30 pounds of nitrogen and 5 pounds of potash. Each cubic yard of food B contains 10 pounds of phosphoric acid, 30 pounds of nitrogen and 10 pounds of potash. He requires a minimum of 460 pounds of phosphoric acid, 960 pounds of nitrogen and 220 pounds of potash. If food A costs $30 per cubic yard and food B costs $35 per cubic yard, how many cubic yards of each food should the farmer blend to meet the minimum chemical requirements at a minimal cost? What is this cost?
Solutions
Expert Solution
Below is the LP Formulation and Excel solver solution -
LP Formulation
Minimize Costs Z = 30A+35B
s.t. constraints -
20A+10B >=460 ---> Phosporic acid
30A+30B >=960 ---> Nitrogen
5A+10B >=220 ---> Potash
A,B >= 0
Solver solution
Minimum cost = 1020 $
A = 20 cubic yards, B = 12 cubic yards
keosha answered 1 year agoRelated Solutions
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