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Consider the inequalities 5x1+4x2ge9,x1...

Consider the inequalities `5x_1+4x_2ge9,x_1+x_2 le 3, x_1 ge 0 , x_2 ge 0` Which of the following point lies inside the solution set ?

A

(1,3)

B

(1,2)

C

(1,4)

D

(2,2)

Text Solution

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The correct Answer is:
B
The point (1,2) lieson the line ` x_1 +x_2=3` 2 which is also satisfy ` 5x_1 + 4x_2 ge 9 `
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-Linear Programming -EXERCISE 2 (MISCELLANEOUS PROBLEMS )
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  3. Consider the inequalities 5x1+4x2ge9,x1+x2 le 3, x1 ge 0 , x2 ge 0 Wh...

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  13. The point which provides the solution of the solution to the linear pr...

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  14. Shaded region is represented by , the constraints

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  15. Let R be the feasible region (convex polygon) for a linear programming...

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  16. The minimum value of the objective function Z=x+2y Subject to the c...

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  17. Let the feasible region of the linear programming problem with the obj...

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  19. Consider the following statements I. If the feasible region of an L...

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  20. The corner points of the feasible region determined by the system of l...

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