d 1,566 e None of the above Questions 15 through 18 refer to the model below. Va
ID: 348419 • Letter: D
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d 1,566 e None of the above Questions 15 through 18 refer to the model below. Variable Cells Final Reduced Objective Allowable Allowable Value Cost Coefficient Increase Decrease 270 Cell C94 Prod aTy Aqua sDSA Prod QTY Hydro 17 SS4 Prod QTY Typhoon 183 1E430 43.75 50 33 58.33333333 Final Shadow Constraint Allowable Allowable Value Price R.H.Side Increase Decrease Cell Pumps consumed 175 SF$10-LaborConsumed1566 SFS11 Tubing Consumed 2051 +30 15 Which is true? a The model is degenerate and the solution is unique. b The model is not degenerate and the solution is unique. c The model is not degenerate and the solution is not unique. d The model is degenerate and the solution is not unique e None of the above can be concladed. What is the tubing slack? a 229 b E+30 16 2880 d 2651 17 The objective function computes total proft The Aqua coefficient was changed to 570. What is true? a The solution is no longer optimal, and the profit decreases b The solution is no longer optimal, but the profit increases. The solution remains optimal, and profit increases. d Optimization is indeterminate, but profit increases. e None of the above conclusions can be drawr Another product manager needs more tubing and offers to take 200 feet off of your books at an attractive internal-transfer price. What is the impact to the model? a It is no longer optimal. b Profit goes down from the reduced material availability 18 d e c B and C both occur No impact to the model's optimal result and the production profit remains unchanged. No conclusions can be made without additional informationExplanation / Answer
15. option E, nothing can be concluded
Since there is one variable that has a final value of 0, atleast one of the constraint is redundant. Hence there is degeneracy in the model. Hence the model is degerate. But, there is not way to ensure that this is unique solution or not.
16. option A, 229
tubing slack = Constraint RH side - final value = 2880 - 2651 = 229
17. option E, none of the conclusions can be drawn.
SInce the reduced cost of Aqua is 305, the coefficient has to increase by 305 for it be to profitable. Increasing the coeffiencient to 570 changes it by = 570-270 = 300. Hence, the optimal solution does not change, neither the profit changes. So option E.
18. option D, no impact on optimal and profit unchanged
the slack is 229, hence we have 229 extra removing 200 will not impact production at all, the optimal solution will remain same, and profit from production will also remain same.
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