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Home Questions S6SBCVY2VW
Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

The corner points of the feasible region for an L.P.P are (2, 0), (7, 0), (4, 5) and (0, 3) and z = 2x + 3y is the objective function. The difference of the maximum and minimum value of z is :

Options:

19

4

23

14

Correct Answer:

19

Explanation:
 Corner points        Objective function
 (x, y)    Z(x, y) = 2x + 3y
 (2, 0)    Z(2, 0) = 2(2) + 0 = 4
 (7, 0)    Z(7, 0) = 2(7) + 0 = 14
 (4, 5)    Z(4, 5) = 2(4) + 3(5) = 23 
 (0, 3)    Z(0, 3) = 0 + 3(3) = 9 

Zmin = 4

Zmax = 23

So Zmax - Zmin = 23 - 4 = 19

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