Dream Resorts makes wine, which it bottles and sells in its on-location Restaurant/Wine Shop. It costs $1100 to set up, brew and bottle a batch of the wine. The annual cost to store the wine is $2.75 per bottle. The annual demand for the wine is 16,000 bottles and the winery has the capacity to produce 28,000 bottles annually. The current production policy is to continue producing the wine until the storage gets full. The storage holds a maximum of 750 bottles of wine. Production starts again when the inventory of wine is depleted. (assume one year = 365 days). Required: A. The owners of Dream Resorts are considering an option of increasing the wine storage space to hold a maximum of 3000 bottles as part of their expansion strategy for the next five years. Is this a good option in terms of the cost savings? Be quantitative. B. What would be an optimal production policy for the winery? How does the optimal policy compare to the initial idea of expanding the storage space to hold a maximum of 3000 bottles in terms of the cost savings? What action should management take to implement the optimal production policy when compared to the current policy of producing the wine until the storage is full?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter3: Introduction To Optimization Modeling
Section3.8: A Multiperiod Production Model
Problem 18P: The Pigskin Company produces footballs. Pigskin must decide how many footballs to produce each...
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Dream Resorts makes wine, which it bottles and sells in its on-location Restaurant/Wine Shop. It costs $1100 to set up, brew and bottle a batch of the wine. The annual cost to store the wine is $2.75 per bottle. The annual demand for the wine is 16,000 bottles and the winery has the capacity to produce 28,000 bottles
annually. The current production policy is to continue producing the wine until the storage gets full. The storage holds a maximum of 750 bottles of wine. Production starts again when the inventory of wine is depleted. (assume one year = 365 days).
Required:
A. The owners of Dream Resorts are considering an option of increasing the wine storage space to hold a maximum of 3000 bottles as part of their expansion strategy for the next five years. Is this a good option in terms of the cost savings? Be quantitative.
B. What would be an optimal production policy for the winery? How does the optimal policy compare to the initial idea of expanding the storage space to hold a maximum of 3000 bottles in terms of the cost savings? What action should management take to implement the optimal production policy when compared to the current policy of producing the wine until the storage is full?

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