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 9 10 8 7 2. The minimum value of Z = 6x + 7y subject to 5x + 8y ≤ 40, 3x + y ≤ 6, x ≥ 0, y ≥ 2 is 20 10 14 none of these 3. The minimum value of C = 12x + 8y subject to 4x + y ≥ 4, x + 3y ≥ 6, x + y ≥ 3, x ≥ 0,y ≥ 0 is 76/3 82/3 25 none of these 4. Objective function of a L.P.P. is a constraint a function to be optimized a relation between the variables a relation between the variables none of these 5. Maximize P = 3x + 5y subject to 4x + 3y ≤ 12, y — x ≤ 2, x ≥ 0, y ≥ 0 is 118/7 119/7 120/7 none of these 6. The optimal value of the objective function is attained at the points : given by intersection of inequations with x-axis only given by intersection of inequations with the axes only given by corner points of the feasible region none of these 7. The solution set of the inequation 2x+y > 5 is half plane that contains the origin open half plane not containing the origin whole Ay-plane except the points lying on the line 2x +y =5 none of these 8. Maximize Z = 2x + 5y subject to x + 4y ≤ 24, 3x + y ≤ 21, x + y ≤ 9, x ≥ 0, y ≥ 0 is 33 34 32 35 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 14.8 24.8 34.8 none of these 10. Maximize Z = 6x + 3y subject to x + y ≤ 5, x + 2y ≥ 4, 4x + y ≤ 12, x ≥ 0, y ≥ 0 is 20 21 22 none of these Loading … Question 1 of 10