A group is planning to back the production of a new musical at Lusaka Playhouse. It would cost K100 000 to stage for the first month. If well received by critics, it will be kept on for a further six months earning a profit of K350 000. If critics dislike it, it will close at the end of the first month. There is a 50: 50 chance of a favourable review. Should the group invest in the musical
A group is planning to back the production of a new musical at Lusaka Playhouse. It would cost K100 000 to stage for the first month. If well received by critics, it will be kept on for a further six months earning a profit of K350 000. If critics dislike it, it will close at the end of the first month. There is a 50: 50 chance of a favourable review. Should the group invest in the musical
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 30P
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- A group is planning to back the production of a new musical at Lusaka Playhouse. It would cost K100 000 to stage for the first month. If well received by critics, it will be kept on for a further six months earning a profit of K350 000. If critics dislike it, it will close at the end of the first month. There is a 50: 50 chance of a favourable review.
Should the group invest in the musical?
A business wants to decide whether to launch a new product. If the product is launched there are two elements of uncertainty: 0.70 probability that sales that sales will be 8000 units per month and 0.30 that sales will be 5000 units per month.
If sales are 8000 units per month, there is a 0.5 probability that the contribution per unit will be K2 and a 05 probability that it will be negative –K1. With sales of 5000 units there is a 0.6 probability that the contribution per unit will be K3 and a 04 probability that it will be K3 and a 0.4 probability that it will be K1.
Advise management using decision tree analysis.
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