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Linear Programming — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSLinear Programming1 Mark
Question
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:
  1. (5, 0)
  2. (6, 5)
  3. (6, 8)
  4. (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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