The lp relationships that follow were formulated by richard martin at the long beach chemical company.
maximize 8x1 + 0.5x1 x2 + 5x3
subject to: 1x1 x2 + 2x3 ≤ 70 (c1)
10.9x1 - 4x2 ≥ 156 (c2)
5x1 + 3x2 + 3x3 ≥ 21 (c3)
16x2 - 0.33x3 = 17 (c4)
-7x1 - x2 + 4x3 = 5 (c5)
1x1 + 2x2 + 3squareroot of x3 ≤ 80 (c6)
for an lp, the objective function developed by richard is valid or invalid
constraint c1 is(n) valid or invalid
constraint c2 is(n) valid or invalid
constraint c3 is a(n) valid or invalid
constraint c4 is a(n) valid or invalid
constraint c5 is a(n) valid or invalid
constraint c6 is a(n) valid or invalid