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A dietician wishes to mix two types of f...

A dietician wishes to mix two types of food in such a way that the vitamin contents of the mixture contains atleast 8 units of vitamin A and 10 units of vitamin C. Food I contains two units/kg of vitamin A and one unit /kg of vitamin C while Food II contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It cost Rs 5 per kg to purchase Food I and Rs 7 per kg to purchase food II. Formulate the problem for minimum of such a mixture. Formulate tha above as a LPP and solve it graphically.

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A dietician wishes to mix two types of foods in such a way that vitamin contents of the mixture contain atleast 8 units of vitamin A and 10 units of vitamin C. Food ‘I’ contains 2 units/kg of vitamin A and 1 unit/kg of vitamin C. Food ‘II’ contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It costs Rs 50 per kg to purchase Food ‘I’ and Rs 70 per kg to purchase Food ‘II’. Formulate this problem as a linear programming problem to minimise the cost of such a mixture.

Reshma wishes to mix two types of food P and Q in such a way that the vitamin contents of the mixture contain at least 8 units of vitamin A and 11 units of vitamin B. Food P costs Rs 60/kg and food Q costs Rs 80/kg. Food P contains 3 units/kg of vitamin A and 5 units/kg of vitamin B while food Q contains 4 units/kg of vitamin A and 2 units/kg of vitamin B. Determine the minimum cost of the mixture.

Write two functions of vitamin-C.

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PRADEEP PUBLICATION-LINEAR PROGRAMMING-EXERCISE
  1. A dietician wishes to mix two types of food in such a way that the vit...

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  2. Exhibit graphically the solution set of the following system of inequa...

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  3. Exhibit graphically the solution set of the following system of inequa...

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  4. Exhibit graphically the solution set of the following system of inequa...

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  5. Exhibit graphically the solution set of the following system of inequa...

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  6. Exhibit graphically the solution set of the following system of inequa...

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  7. Exhibit graphically the solution set of the following system of inequa...

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  8. Minimize f=6x+16y, subject to xle40, yge20 and x,yge0.

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  9. Maximize the function Z=11x++7y subjects to constraints xle3y, yle2, x...

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  10. Maximize Z=8x+3y subject to constrains x+yle3, 4x+yle6, xge0, yge0.

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  11. Minimize 6x+21y, subject to x+2yge3, x+4yge4 and xge0, yge0.

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  12. Solve the following linear programming problem graphically: Minimise Z...

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  13. Maximize Z=3x+4y subject to constrains x+yle1, xge0, yge0.

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  14. Maximize graphically f=x+5y subject to the constraints x+4yle24, 3x+yl...

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  15. Solve the following linear programming problems graphically Minimize...

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  16. Minimize Z=3x+5y subject to constrains x,yge0, x+2yge10, x+yge6, 3x+yg...

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  17. Minimize Z=13x-5y subject to constraints xge0, yge0, x+yle7, 2x-3y+6ge...

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  18. A producer has 30 and 17 units of labour and capital respectively whic...

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  19. If a man rides his motor cycle at 25 km/hr, he has to spend Rs 2 per k...

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  20. A man rides his motorcylcle at the speed of 50 km/hour. He has to spen...

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  21. Every gram of wheat provides 0.1 g of protien and 0.25 g of carbohydra...

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