Answer :
Final answer:
To maximize the given function subject to multiple constraints, you can transform it into an unconstrained problem and apply the Lagrangean function method.
Explanation:
Maximize Z=10x1 - 4x2 + 7x3, subject to:
- 3x1 - x2 + 2x3 ≤ 25
- x1 - 2x2 + 3x3 ≤ 25
- 5x1 + x2 + 2x3 ≤ 40
- x1 + x2 + x3 ≤ 90
- 2x1 - x2 + x3 ≤ 20
To solve this problem, you first transform it into an unconstrained one and then apply the Lagrangean function to find the extremum value of Z.