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Linear Programming — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsLinear Programming1 Mark
MCQ
Choose the correct answer from the given four options.
Let F = 3x - 4y be the objective function.
Minimum value of F is:
  • A
    0.
  • B
    -16.
  • C
    12.
  • D
    Does not exist.
✓

Answer

  1. -16

Solution:

the feasible region as show in the figure, has objective function F= 3x - 4y

Corner points
Corresponding value of z = 3x - 4y
(0, 0)
0
(12, 6)
12 (masimum)
(0, 4)
-16 (miminum)

We have minimum value of F is -16at (0, 4).

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