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The solution of linear programming problem, maximize `Z=3x_(1)+5x_(2)` subject to `3x_(1)+2x_(2) le 18, x_(1) le 4, x_(2) le 6, x_(1) ge 0, x_(2) ge 0` is ………..

A

`x_(1)=2, x_(2)=0, z=6`

B

`x_(1)=2, x_(2)=6, z=36`

C

`x_(1)=4, x_(2)=3, z=27`

D

`x_(1)=4, x_(2)=6, z=42`

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The correct Answer is:
B
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KUMAR PRAKASHAN-LINEAR PROGRAMMING-MULTIPLE CHOICE QUESTIONS
  1. The shaded region in the given figure is a graph of ……………

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  2. The point at which the maximum value of Z = 3x + 2y subject to the con...

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  3. The solution of linear programming problem, maximize Z=3x(1)+5x(2) sub...

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  4. The maximum value of Z = x + 3y subject to the constraints 2x+y le 20,...

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  5. The solution set of the constraints x+2y ge 11, 3x+4y le 30, 2x+5y le ...

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  6. The feasible region of the inequality x+y le 1" and "x-y le 1 lies in ...

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  7. The following five inequalities form the feasible region. 2x-y le 8, x...

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  8. The position of the points O(0, 0) and P(2, -1) is ………, in the region ...

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  9. The constraints x+y le 4, 3x+3y ge 18, x ge 0, y ge 0 defines on ………

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  10. The solution set of the constraints x+2y le 2000, x+y le 1500, y le 60...

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  11. Out of the following points, how many points are satisfied the inequal...

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  12. How many points having integer co-ordinates are there in the feasible ...

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  13. z = 30x - 30y + 1800 is a objective function. The corner points of the...

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  14. The corner points of the bounded feasible region are (0, 1), (0, 7), (...

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  15. The constraints -x+y le 1, -x+3y le 9, x ge 0, y ge 0 defines on ………

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  16. The solution set of the constraints 2x+3y le 6, 5x+3y le 15" and "x ge...

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  17. The solution set of the constraints 2x+3y le 6, x+4y le 4" and "x ge 0...

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  18. The region formed by the inequalities 2x+3y-5 le 0, 4x-3y+2 le 0" and ...

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  19. A wholesale dealer wants to starts the business with Rs. 2,40,000. The...

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  20. The corner points of the bounded feasible region are (0, 0), (2, 0), (...

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