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Z=4x+2y,4x+2y ge 46, x +3y le 24 and x...

`Z=4x+2y,4x+2y ge 46, x +3y le 24 ` and x and y are greater than or equal to Zero, then the maximum value of Z is

A

46

B

96

C

52

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Given, Z = 4x + 2y. The feasible region is ABCA

Hence, maximum vlaue of Z is 96
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-Linear Programming -EXERCISE 2 (MISCELLANEOUS PROBLEMS )
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  2. Consider the inequalities x1+x2 le 3,2x1+5x2ge 10x1,x2 ge 0 then feas...

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  3. Z=4x+2y,4x+2y ge 46, x +3y le 24 and x and y are greater than or equ...

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  4. The minimum vlaue Z = 2x1 +3x2 subject to the conditions 2x1+7x2ge22...

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  5. The maximum value P = 3x + 4y subjected to the constraints x + y le 40...

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  6. Consider the inequalities 5x1+4x2ge9,x1+x2 le 3, x1 ge 0 , x2 ge 0 Wh...

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  7. The minimum and maximum values problem, of Z for the minimise and ma...

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  8. The linear programming problem minimiseZ=3x+2y subject to the constrai...

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  9. The maximum and minimum values of the objective function Z = x + 2y s...

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  10. The maximum value of the objective function Z=3x+4y subject to th...

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  11. Let x and y are the number of tables and chairs respectively, on which...

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  12. The graphical solution of linear inequalities x+y ge 5 " and " x -y ...

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  13. By graphical method, the solutions of linear programming problem maxim...

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  14. A toy company manufactures two types of doll; a basic version doll; a ...

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  15. The minimum value of Z = 10x + By subject to 4x +y ge 4, x +3y ge 6, ...

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

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  17. Shaded region is represented by , the constraints

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

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

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

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