Mondo's Runway Show
Mondo Guerra is matching his models with his latest collection for
Fashion Week. He has five models, ranging from 5'10" to 5'10.5" and
size 0 to size 1. His five latest designs run the gamut from
prêt-à-porter to an evening gown and he'd like to make sure each
outfit looks as good as possible by having it worn on the runway by
the right model. After an anxious month of sewing, he has each
model try on each outfit and he assigns a fabulosity score to each
combination as indicated in the table.
| Gown | Sport | Couture | Avant Garde | Prêt-à-Porter |
Zoe | 9 | 9 | 4 | 4 | 2 |
Yvette | 3 | 8 | 3 | 8 | 9 |
Xena | 4 | 7 | 3 | 7 | 8 |
Whisper | 1 | 6 | 5 | 6 | 9 |
Vajay | 4 | 9 | 9 | 6 | 7 |
You formulate this as an assignment model and review the Zoe
section of the sensitivity analysis with Mondo. Provide him with an
interpretation.
Cell |
Name |
Final Value |
Reduced Cost |
Objective Coefficient |
Allowable Increase |
Allowable Decrease |
$J$13 | Zoe Gown | 1 | 0 | 9 | 1E+30 | 3 |
$K$13 | Zoe Sport | 0 | 0 | 9 | 3 | 2 |
$L$13 | Zoe Leisure | 0 | -2 | 4 | 2 | 1E+30 |
$M$13 | Zoe Cocktail | 0 | -5 | 4 | 5 | 1E+30 |
$N$13 | Zoe Pret a Porter | 0 | -8 | 2 | 8 | 1E+30 |
The following would be the interpretation:
Zoe is allocated to wear the gown and add up to the total fabulosity score 9 points. And if the ranking of Zoe in gown was as small as 3 marks, she will still be allowed to wear the gown. This would be lower total ranking, but it will also be her task. The reduced expense entries usually refer to the increase in objective coefficients before the shift in contract. When the formula was presented, the Leisure Outfit multiplier for Zoe was 4, with a decreased expense of -2, and a move above 4 to 4- -2 = 6 will render the Leisure Outfit assignment ideal. We can not render the assumption, because this is a structured layout.
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