Question:
Linear equations as matrices
1. Text shows how to write a system of linear equations using matrix notation. You can similarly write a linear programming problem in matrix notation.
Find matrices A, B, C, and X such that the maximization problem
Maximize z = 3x1 + 2x2 + x3
subject to: 2x1 + x2 + x3 < 150
2x1 + 2x2 + 8x3 < 200
2x1 + 3x2 + x3 < 320
with x1 > 0, x2 > 0, x3 > 0.
can be written as
Maximize CX
subject to: AX < B
with X > 0.