.
Use the technique developed in this section to solve the minimization problem.
Minimize
C = x − 6y + z
subject to
x − 2y + 3z ≤ 10
2x + y − 2z ≤ 15
2x + y + 3z ≤ 20
x ≥ 0, y ≥ 0, z ≥ 0
The minimum is C = at (x, y, z) =
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I don't know which technique was developed in this unknown to me section,
which you do mention in your post.
Therefore, I recommend you to go to this (free of charge) online Internet solver
https://www.zweigmedia.com/RealWorld/simplex.html
Read the instructions; print there (or copy-paste) your input data in this format
Minimize C = x − 6y + z subject to
x − 2y + 3z <= 10
2x + y − 2z <= 15
2x + y + 3z <= 20
x >= 0, y >= 0, z >= 0
The solver will give you the solution momentarily
Optimal Solution: c = 0; x−6y = 0, z = 0
with all necessary explanations, step by step.
Solved.