Question

Solve the following LPP by two phase simplex method:
Maximize Z=X+2Y+3Z
Subject to X+2Y+3Z=15
2X+Y+5Y=20
X+2Y+Z+W=10
X,Y,Z,W≥0

Answer 1

Answer on Question #85717 – Math – Other

Question

Solve the following LPP by two phase simplex method:

Maximize $Z = X + 2Y + 3Z$

Subject to $X + 2Y + 3Z = 15$

$$2X + Y + 5Y = 20$$ $$X + 2Y + Z + W = 10$$ $$X, Y, Z, W \geq 0$$

Solution

Maximize $Z = X + 2Y + 3Z$

Subject to $X + 2Y + 3Z = 15$

Then $Z = X + 2Y + 3Z = 15$

$$X + 2Y = 15 - 3Z = 15 - 3(15) = -30 < 0$$

But $X, Y, Z, W \geq 0$

There is no solution.

**Answer:** There is no solution.

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