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Model Paper 1 — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsModel Paper 11 Mark
MCQ
A Linear Programming Problem is as follows:
Minimize Z = 2x + y
Subject to the constraints $x \geq 3, x \leq 9, y \geq 0$
$x-y \geq 0, x+y \leq 14$
The feasible region has
  • A
    5 corner points including (0, 0) and (9, 5)
  • B
    5 corner points including (7, 7) and (3, 3)
  • C
    5 corner points including (3, 6) and (9, 5)
  • D
    5 corner points including (14, 0) and (9, 0)
✓

Answer

(b) 5 corner points including (7, 7) and (3, 3)
Explanation:
Image
On plotting the constraints x = 3 x = 9 x = y and x + y = 14 we get the following graph. From the graph given below it, clear that feasible region is ABCDEA, including corner points A(9, 0) B(3, 0) C(3,3) D(7, 7) and E(9, 5) Thus feasible region has 5 corner points including (7, 7) and (3, 3).

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