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The feasible region for an LPP is shown in the Figure. Let F = 3x – 4y be the objective function.

F1 Savita CTET 10-5-22 D2

The minimum value of F is

  1. 0
  2. –16
  3. 12
  4. does not exist

Answer (Detailed Solution Below)

Option 2 : –16

Detailed Solution

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Explanation:

Corner points of the feasible region for the given figure are (0, 0), (0, 4), and (12, 6).
F = 3x - 4y

F1 Savita CTET 10-5-22 D2

 

qImage681c4ef34513e55d328e75cb

So Minimum value of F = -16 at point (0,4).

The Correct Option is (2).

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Q1.Which one of the following is not a basic solution of system of linear equation x1 + 2x2 + x3 = 4 2x1 + x2 + 5x3 = 5
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