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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.

The feasible solution for a LPP is shown in. Let Z = 3x - 4y be the objective function.

Maximum of Z occurs at:

  • A
    (5, 0)
  • B
    (6, 5)
  • C
    (6, 8)
  • D
    (4, 10)
✓

Answer

  1. (5, 0)

Solution:

Corner points
Corresponding value of Z = 3x - 4y
(0, 0)
(5, 0)
(6, 5)
(6, 8)
(4, 10)
(0, 8)
0
15 (Maxmimum)
-2
-14
-28
-32

Hence, maximum of Z occurs at (5, 0) and its maximum value is 27.

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