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in Linear Programming by (58.4k points)

There are two types of fertilisers F1 and F2 .F1 consists of 10% nitrogen and 6% phosphoric acid and F2 consists of 5 % nitrogen and 10% phosphoric acid. After testing the soil conditions, a farmer finds that she needs at least 14 kg of nitrogen and 14 kg of phosphoric acid for her crop. If F1 costs Rs. 6/kg and F2 costs Rs. 5/kg, determine how much of each type of fertiliser should be used so that nutrient requirements are met at a minimum cost. What is the minimum cost?

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Best answer

B (100,80) Z=1000 

C (0,280) Z = 1400 

Cost is minimum at B (100, 80) 

∴ F1= 100 F2 = 80

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