11.85 A + 11.75 B + 13.19 C + 15.64 D + 12.40 g + 15.18 F AXINIZE Wood (03): Lat
ID: 3369064 • Letter: 1
Question
11.85 A + 11.75 B + 13.19 C + 15.64 D + 12.40 g + 15.18 F AXINIZE Wood (03): Lathe time (nin): 10A 14 B 18 C 21 D 12 12 r1000 rinish simfain): 25 A + 30B+ 29 ? + 31D+ 33 g + 30ro" 2500 Packing Boxes: 1A+ 1B+ 1C+ 1D+ ir+ 1raiooo stain (o2) Preorders 34A+ 32 B + 30 C+ 36 D + 38E+ 4080" 3000 1 A 30 1 DEF 10 The optimal solution value is -1128.169 Box A Box B Box c Box D Cost 1.2764 .0677 Bound -Infinity -Infinity 13.1303 30 11.85 11.75 13.19 15.64 12.48 12.8629 13.0264 22.77 15.7077 11.7778 -Infinity 2.0613 Infinity 14.5413 Box F 14.0113 17.5867 Dual Value 3193 2006 Original Constraint Wood (oa) Lathe tine (nin) Finish Tise (min) Packing Bozes Stain (or) Surplus Bound 2386.667 894 2311.556 82.4445 205.5555 3353.333 1260.923 Infinity Infinity Infinity 65.3846 40.6667 188.4446 17.5555 594.4445 1000 2500 1000 800 1.012, Co…tition 30.6667 10 -Infinsty in order to maximize profit, the Decision Sciences Company should produce the following: o 30 of Box A, none of Box B, 11.2778 of Box C, none of Box D. none of Box E and 40.6667 of Box F 0 none of Box A, 11.2764 of Box B. none of Box C..0677 of Box D. 2.0613 of Box E and none of Box F 11.85 of Box 11.75 of Box B, 13, 1 9 of Box C, 15.64 of Box D, 12.48 of Box E and 15.18 of Box F None of the answers given here Cick Save and Submit to save and submit. Click Save All Ansoers to save all ansuersExplanation / Answer
1. Based on the optimal solution,
Box A = 30, Box B = 0, Box C = 11.7778, Box D = 0, Box E = 0, Box F = 40.6667
Hence the correct option is the first option.
30 of Box A, none of Box B, 11.778 of Box C, none of Box D, none of Box E and 40.6667 of Box E.
2. Among the four variables, the slack/surplus of only Lathe time is 0. So, the correct option is Lathe time.
3. As, the profit for Box C ($15), is within the range (13.1303, 22.77), the values of the decision variables would not change. So, the correct option is,
the values of the decision variables would not change, but the overall profit would change (4th option)
4. For the pre-order constraint, provided the right-hand side of that constraint remains between 0 and 65.3846, the objective function (profit) change will be exactly -1.0129 (shadow price)
Hence the correct option is,
the profit will decrease by $1.0129 (1st option)
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