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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.

Minimum of Z occurs at:
  • A
    (0, 0)
  • B
    (0, 8)
  • C
    (5, 0)
  • D
    (4, 10)
✓

Answer

  1. (0, 8)

Solution:

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

Hence, the minimum of Z occurs at (0, 8) and its minimum value is (-32).

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