CHAPTER-10, LINEAR PROGRAMMING

1. The maximum value of Z = 2x + 5y subject to 2x + 4y ≤ 8, 3x + y ≤ 6, x + y ≤ 4, x ≥ 0, y ≥ 0 is

 
 
 
 

2. The minimum value of Z = 6x + 7y subject to 5x + 8y ≤ 40, 3x + y ≤ 6, x ≥ 0, y ≥ 2 is

 
 
 
 

3. The minimum value of C = 12x + 8y subject to 4x + y ≥ 4, x + 3y ≥ 6, x + y ≥ 3, x ≥ 0,y ≥ 0 is

 
 
 
 

4. Objective function of a L.P.P. is

 
 
 
 

5. Maximize P = 3x + 5y subject to 4x + 3y ≤ 12, y — x ≤ 2, x ≥ 0, y ≥ 0 is

 
 
 
 

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

 
 
 
 

7. The solution set of the inequation 2x+y > 5 is

 
 
 
 

8. Maximize Z = 2x + 5y subject to x + 4y ≤ 24, 3x + y ≤ 21, x + y ≤ 9, x ≥ 0, y ≥ 0 is

 
 
 
 

9. The maximum value of P = 5x+ 7y subject to the constraints x + y ≤ 4, 3x + Sy ≤ 24, 1dx + 7y ≤ 35 and x ≥ 0, y ≥ 0 is

 
 
 
 

10. Maximize Z = 6x + 3y subject to x + y ≤ 5, x + 2y ≥ 4, 4x + y ≤ 12, x ≥ 0, y ≥ 0 is

 
 
 
 

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