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An oil company requires 12000, 20000 and...

An oil company requires 12000, 20000 and 15000 barrerls of high grade, medium grade and low grade oil respectively. Refinary A produces 100,300 and 200 barrerls per day of high, medium and low grade oil respectively whereas refinary B produces 200,400,100 barrels per day respectively.If A costs Rs.400 per day and B Rs.300 costs per day to operate, how many days should each refinery be run to minimize the cost of meeting requirements.

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A soft drinks firm has two bottling plants, one located at P and the located at Q. Each plant produces three different soft drinks A, B and C. The capacities of two plants in number of bottles per day, are as follows: A market survey indicates that during the month of April, there will be a demand for 24000 botlles of A, 16000 bottles of B and 48000 bottles of C. The cost of running the two plants P and Q are respectively Rs 6000 and Rs 4000 per day. Find graphically, the number of days for which either of the two plants P and Q should be run in the month of April so as to minimise production cost while still meeting the market demand.

PRADEEP PUBLICATION-LINEAR PROGRAMMING-EXERCISE
  1. A factory owner wants to purchase two types of machines A and B, for h...

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  2. A manufacturer has three machines I, II and III installed in his facto...

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  3. An oil company requires 12000, 20000 and 15000 barrerls of high grade,...

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  4. Solve the following LPP graphically: minimize Z=x-5y+20 subjects to co...

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  5. Maximize Z=x+y subject to x+4yle8, 2x+3yle12, 3x+y le 9, xge0, yge0.

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  6. Find the maximum and minimum values of 4x+3y subject to constraints xl...

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  7. Find the maximum and minimum values of 5x+2y subject to constraints 2...

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  8. Maximize and minimize Z=3x-4y subject to x-2yle0, x-yle6, -3x+yle4, xg...

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  9. A manufacturing company makes two types of television sets, one is bla...

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  10. A doll manufacturing company manufatures two types of dolls, type A an...

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  11. Rajiv has two courses to prepare for final examination. Each hour of s...

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  12. A manufacture makes two products A and B. product A sells at Rs.200 pe...

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  13. Solve the following linear programming problem graphically, minimize Z...

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  14. Solve the following L.P.P graphically: maximize Z=8x+7y subject to con...

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  15. State whether the region represented by xge0, yge0 is convex or not.

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  16. State whether the region represented by x^2+y^2ge1, x^2+y^2le4 is conv...

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  17. State whether the region represented by xge0,yge0,x+yge1 bounded or un...

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  18. Is the region represented by 2x+3yle18,x+yge10,xge0, yge0 an empty set...

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  19. What are non-negativity constraints?

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  20. Draw the region represented by xge0, yge0, xle2, yle3.

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