Network Design (Supply Chain Management)  Blueberry, Inc. is a cell phone manufacturer serving the North American market. Current annual demand of their product in North America is 5,000,000. Over the next two years, demand in North America is expected to go up by 50 percent with a probability of 0.80, or go down by 15 percent with a probability of 0.20. Blueberry, Inc. currently has a production facility in N. America with a capacity of 5,000,000 units per year while the variable production cost per phone is $10. Each phone sells for $35. Blueberry, Inc. is contemplating on adding 5,000,000 units of capacity to the plant which will incur an additional fixed cost of $75,000,000. Assume that Blueberry, Inc. uses a discount factor of 12 percent.   What is the probability that the demand will be more than 10,000,000?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
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Network Design (Supply Chain Management

Blueberry, Inc. is a cell phone manufacturer serving the North American market. Current annual demand of their product in North America is 5,000,000. Over the next two years, demand in North America is expected to go up by 50 percent with a probability of 0.80, or go down by 15 percent with a probability of 0.20. Blueberry, Inc. currently has a production facility in N. America with a capacity of 5,000,000 units per year while the variable production cost per phone is $10. Each phone sells for $35.
Blueberry, Inc. is contemplating on adding 5,000,000 units of capacity to the plant which will incur an additional fixed cost of $75,000,000. Assume that Blueberry, Inc. uses a discount factor of 12 percent.
 
What is the probability that the demand will be more than 10,000,000?
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