CHAPTER-6, LINEAR PROGRAMMING

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

 
 
 
 

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

 
 
 
 

3. Which of the following statements is correct ?

 
 
 
 

4. The minimum value of P = 6x + 16y subject to constraints x ≤ 40, y ≥ 20 and x, y ≥ 0 is

 
 
 
 

5. Maximize P = lax + 20y subject to 2x+3y ≤ 180, x + 4y ≤ 160, x ≥ 0, y ≥ 0 is

 
 
 
 

6. 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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

9. The maximum value of P = 40x + 50y subject to the constraints 3x +y 5 ≤ 9, x+ 2y 5 ≤ 8, x ≥ 0 and y ≥ 0 is

 
 
 
 

10. The maximum value of P = 2x + 3y subject to 3x + 2y ≤ 6, x + y ≥ 2, x ≥ 0, y ≥ 0 is

 
 
 
 

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