Question

Maximize Z= (22x1 + 30x2 + 25x3) Subject to 2x1 + 2x2 ≤ 10 0 2x1 + x2 + x3 ≤100 x1 + 2x2 +2x3≤ 100 x1, x2, x3 ≥ 0

Answer 1

Answer:

Maximize Z= (22x1 + 30x2 + 25x3) Subject to 2x1 + 2x2 ≤ 10 0 2x1 + x2 + x3 ≤100 x1 + 2x2 +2x3≤ 100 x1, x2, x3 ≥ 0. 1.

Answer 2

Answer:

The solution to this problem would give us the values of x1, x2, and x3 that maximize the objective function Z while satisfying the constraints.

Step-by-step explanation:

From the above question,

They have given :

This is a linear programming problem, and it can be solved using the Simplex method or any other optimization algorithm. The objective function Z = 22x1 + 30x2 + 25x3 is to be maximized, subject to the constraints given by,

2x1 + 2x2 ≤ 10,

2x1 + x2 + x3 ≤ 100,

x1 + 2x2 + 2x3 ≤ 100, and

x1, x2, x3 ≥ 0.

The solution to this problem would give us the values of x1, x2, and x3 that maximize the objective function Z while satisfying the constraints.

It is important to note that this problem can have multiple solutions, and the solution obtained may depend on the initial values chosen for the optimization algorithm.

For simplification and our understanding, Let us assume value of

X1 = a,

X2 = b &

X3 = c

Given us equation; - 1. 2 a + 2b = 100, a + b = 50

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