The lp relationships that follow were formulated by richard martin at the long beach chemical company. maximize 8x1 + 0.5x1 x2 + 5x3subject 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 invalidconstraint c1 is(n) valid or invalidconstraint c2 is(n) valid or invalidconstraint c3 is a(n) valid or invalidconstraint c4 is a(n) valid or invalidconstraint c5 is a(n) valid or invalidconstraint c6 is a(n) valid or invalid