IOE310_PS06_Solution (1)

5 or 15 c2 6 or 2150 type2 price 26 coptimal solution

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Unformatted text preview: aint and flatter than L2 constraint or 2 ≤ c2 ≤ 0.5 or 1 ≤ c1 ≤ 4 or $ 23 = 22 + 1 ≤ (Type1 price) ≤ 22 + 4 = $ 26. (b) Current basis remains optimal for 2 ≤ 3 c2 ≤ 0.5 or 1.5 ≤ c2 ≤ 6 or $ 21.50 ≤ (Type2 price) ≤ 26. (c)Optimal solution still occurs where both constraints are binding or x1 + 2x2 = 30 and 2x1 + x2 = 50. This yields x1 = 70/3, x2 = 10/3, and z = 230/3. Since solution is feasible, it is optimal. (d) Optimal solution occurs where x1 + 2x2 = 40 and 2x1 + x2 = 60. This yields x1 = 80/3, x2 = 20/3, z = 280...
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