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If X(1) = (x(1), y(1)) and X(2) = (x(2),...

If `X_(1) = (x_(1), y_(1))` and `X_(2) = (x_(2),y_(2))` are two optimal solutions of a L.P.P., then

A

`lambdaX_(1) + (1-lambda)X_(2), lambda` in R is also an optimal solution

B

`lambdaX_(1) + (1+lambda)X_(2), lambda` in R is also an optimal solution

C

`lambdaX_(1) + (1+lambda)X_(2), 0 le lambda le 1` is also optimal solution

D

`lambdaX_(1) + (1-lambda)X_(2), 0 le lambda le 1` is also optimal solution

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The correct Answer is:
D
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HIMALAYA PUBLICATION-LINEAR PROGRAMMING-QUESTION BANK
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  2. Which of the following set is convex

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  3. If X(1) = (x(1), y(1)) and X(2) = (x(2),y(2)) are two optimal solution...

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  4. The optimal value of the objective function is attained at the points

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  5. The solution of inequality x ge 0 is

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  6. Solution set of the inequality y le 0 is

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  7. The solution set of the inequalities x ge 0 and y le 0 is

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  8. The region represents by the inequalities x ge 6, y ge 3, 2x + y ge 10...

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  9. If an LPP admits optimal solution at two consecutive vertices of a fea...

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  10. The feasible region of an L.P.P is always

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  11. The minimum value of the linear objective function x = 5x + 2y subject...

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  12. The shaded region in the following figure is the solution set of the i...

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  13. The shaded region in the following figure is the solution set of the i...

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  14. The maximum value of linear objective function z = 40x + 50y subjected...

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  15. The shaded region in the following figure is the solution set of the i...

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  16. Maximum value of set z = 3x +2y subjected to 0 le x le 3, 0 le y le 3,...

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  17. The shaded region in the following figure is the solution set of the i...

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  18. The minimum value of z = 6x + 4y subjected to 2x + 3y le 30, 3x + 2y l...

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  19. The region represented by the inequations 2x + 3y le 18, x + y ge 10, ...

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  20. Optimization of the objective function is a process of

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