A farmer owns 200 acres of agriculture land. He grows Wheat, Corn & Rice. Average per acre yield for Wheat, Corn & Rice is 4000, 6000 and 2000 kg. Selling price of Wheat, Corn & Rice is Rs. 2, 1.5 & 4 per kg respectively. Each product needs Urea fertilizer. Cost of Urea is Rs. 1 per kg. Per acre need for fertilizer for Wheat, Corn & Rice is 200, 200 & 100 kg respectively. Requirement of labour for Wheat, Corn & Rice is 10, 12 & 10 man hours per acre. Labour cost is Rs.40 per man hour. Maximum 20,000 man hours of labour is available. How much of each crop should he produce to maximize profit? Formulate an LPP and find the optimal solution using simplex method. solve on EXCEL SHEET
A farmer owns 200 acres of agriculture land. He grows Wheat, Corn & Rice. Average per acre yield for Wheat, Corn & Rice is 4000, 6000 and 2000 kg. Selling price of Wheat, Corn & Rice is Rs. 2, 1.5 & 4 per kg respectively. Each product needs Urea fertilizer. Cost of Urea is Rs. 1 per kg. Per acre need for fertilizer for Wheat, Corn & Rice is 200, 200 & 100 kg respectively. Requirement of labour for Wheat, Corn & Rice is 10, 12 & 10 man hours per acre. Labour cost is Rs.40 per man hour. Maximum 20,000 man hours of labour is available. How much of each crop should he produce to maximize profit? Formulate an LPP and find the optimal solution using simplex method. solve on EXCEL SHEET
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 21E
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A farmer owns 200 acres of agriculture land. He grows Wheat, Corn & Rice. Average per acre yield for Wheat, Corn & Rice is 4000, 6000 and 2000 kg. Selling price of Wheat, Corn & Rice is Rs. 2, 1.5 & 4 per kg respectively. Each product needs Urea fertilizer. Cost of Urea is Rs. 1 per kg. Per acre need for fertilizer for Wheat, Corn & Rice is 200, 200 & 100 kg respectively. Requirement of labour for Wheat, Corn & Rice is 10, 12 & 10 man hours per acre. Labour cost is Rs.40 per man hour. Maximum 20,000 man hours of labour is available. How much of each crop should he produce to maximize profit? Formulate an LPP and find the optimal solution using simplex method.
solve on EXCEL SHEET
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