14-11 Draw a tree diagram to illustrate what the market shares would be next month for Problem 14-10.
14-10
14-10 Over any given month, Dress-Rite loses 10% of its customers to Fashion, Inc., and 20% of its market to Luxury Living. But Fashion, Inc., loses 5% of its market to Dress-Rite and 10% of its market to Luxury Living each month; and Luxury Living loses 5% of its market to Fashion, Inc., and 5% of its market to Dress-Rite. At the present time, each of these clothing stores has an equal share of the market. What do you think the market shares will be next month? What will they be in 3 months?
Dress Rite | Fashin Inc | Lux Living | |
current month share | 33.33 | 33.33 | 33.33 |
Next Month loss in mkt share (%) | |||
- to Fashin Inc | 10% | 0% | 5% |
- lux inc | 20% | 10% | 0% |
- dress rite | 0% | 5% | 5% |
Next Month loss in market share (absolute vlaue) | |||
- to Fashin Inc | 3.333 | 0 | 1.6665 |
- lux inc | 6.666 | 3.333 | 0 |
- dress rite | 0 | 1.6665 | 1.6665 |
End of month 1 total share | 26.664 | 33.33 | 39.996 |
Month 2 loss in mkt share (%) | |||
- to Fashin Inc | 10% | 0% | 5% |
- lux inc | 20% | 10% | 0% |
- dress rite | 0% | 5% | 5% |
Month 2 loss in market share (absolute vlaue) | |||
- to Fashin Inc | 2.6664 | 0 | 1.9998 |
- lux inc | 5.3328 | 3.333 | 0 |
- dress rite | 0 | 1.6665 | 1.9998 |
End of month 2 total share | 22.3311 | 32.9967 | 44.6622 |
Month 3 loss in mkt share (%) | |||
- to Fashin Inc | 10% | 0% | 5% |
- lux inc | 20% | 10% | 0% |
- dress rite | 0% | 5% | 5% |
Month 3 loss in market share (absolute vlaue) | |||
- to Fashin Inc | 2.23311 | 0 | 2.23311 |
- lux inc | 4.46622 | 3.29967 | 0 |
- dress rite | 0 | 1.649835 | 2.23311 |
End of month 2 total share | 19.514715 | 32.513415 | 47.96187 |
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Thank you so much sir
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