Every gram of wheat provides 0.15 g of proteins and 0.24 g of carbo hydrates. The corresponding values of proteins and carbo hydrate of rice are 0.05g and 0.48g respectively. Wheat costs ₹40 per kg and rice costs ₹60 per kg. The minimum daily requirements of proteins and carbohydrates for an average child are 50g and 200 g respectively. Which of the following options describes the LPP to minimize the total cost of wheat and rice that provide minimum daily requirements of proteins and carbohydrates ?

Question

Option 1: minimize z=40x+60y subjected to constraints 0.15x+0.05y ≥ 60, 0.24x+0.48y ≥ 400,x,y ≥ 0

Option 2: minimize z=40x+60y subjected to constraints 0.15x+0.05y ≤ 50, 0.24x+0.48y ≤ 200,x,y ≥ 0

Option 3: minimize z=40x/1000+60y/1000 subjected to constraints 0.15x+0.05y ≥ 50, 0.24x+0.48y ≥ 200,x,y ≥ 0

Option 4: minimize z=40x/1000+60y/1000 subjected to constraints 0.15x+0.05y ≤ 50, 0.24x+0.48y ≤ 200,x,y ≥ 0

AfterBoards · Accepted Answer

The answer is 'minimize z=40x/1000+60y/1000 subjected to constraints 0.15x+0.05y ≥ 50, 0.24x+0.48y ≥ 200,x,y ≥ 0'. View full solution:

CUET Mathematics 2026 29th May Shift 2 PYQs

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