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Linear Programming — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsLinear Programming1 Mark
Question
Choose the correct answer from the given four options.

The feasible solution for a LPP shown in Fig. 12.12. Let z = 3x - 4y be objective functio. (Maximum value of Z + Minimum value of Z) is equal to:
  1. 13.
  2. 1.
  3. -13.
  4. -17.
✓

Answer

  1. -17.

Solution:

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

Here, maximum value of Z + minimum value of Z = 15 - 32 = -17.

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