IOE310_PS06_Solution (1)

Z and z cannot both be in the basis at the same time

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Unformatted text preview: t; 0, z ￿ = 0 and z ￿￿ = |2x1 − 3x2 | so the objective function will equal z ￿ + z ￿￿ = z ￿￿ = |2x1 − 3x2 |. z ￿ and z ￿￿ cannot both be in the basis at the same time. This problem is unbounded. z ￿ = z ￿￿ = c > 0 (x1 , x2 ) = (0, 0) is feasible and the objective value is 2c. IOE 310 – Problem Set 06 - Solution Page 2 of 2 Problem 2 Section 6.1 Problem 5 (p.267) 1 (a) Let c1 = profit from type 1 radio. Slope of isoprofit line is c2 . Current basis is still optimal if of iso1 profit line is steeper than L1 constr...
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