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Max (z) = 5x + 10y subject to constraints:

x+2y<120x + 2y < 120

x+y>60x + y > 60

x−2y>0x - 2y > 0

x,y≥0x, y \geq 0

Which of the following points do not lie in the feasible region of the above LPP ?

(A) (90, 15)

(B) (30, 15)

(C) (60, 20)

(D) (90, 10)

Choose the correct answer from the options given below:

Solution

✅ Correct Option: 4

Test each point. (90,15)(90,15) gives x+2y=120x+2y=120, which fails the strict inequality x+2y<120x+2y<120. (30,15)(30,15) gives x+y=45x+y=45, which fails x+y>60x+y>60. Both (60,20)(60,20) and (90,10)(90,10) satisfy all three. So (A) and (B) do not lie in the region.

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