Minimize subject to
P = 7x1 - 5x2 + 2x3
x1 - 2x2 - x3 ≥ -8
x1 - x2 + x3 ≤ 10
x1, x2, x3, ≥ 0
Problem are mixed. Some can be solved by the methods presented in Sections 6-2 and 6-3, while others must be solved by the big M method.