Green Thumb, a manufacturer of lawn care equipment has introduced a new product.  Each unit cost $150 to manufacture, and the introductory price is to be $200.  At this price, the anticipated demand is normally distributed, with a mean of 100 and a standard deviation of 40.  Any unsold units at the end of the season are unlikely to be very valuable and will be disposed of in a fire sale for $50 each.  It costs $20 to hold a unit in inventory for the entire season. How many units should Green Thumb manufacture for sale? What is the cycle service level (probability of not stocking out) associated with this policy? If the holding costs increase, how does this affect the optimal number of units to manufacturer and the cycle service level? *Note you can construct a graph if you prefer

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter10: Introduction To Simulation Modeling
Section10.5: Introduction To @risk
Problem 19P: In Problem 12 of the previous section, suppose that the demand for cars is normally distributed with...
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Green Thumb, a manufacturer of lawn care equipment has introduced a new product.  Each unit cost $150 to manufacture, and the introductory price is to be $200.  At this price, the anticipated demand is normally distributed, with a mean of 100 and a standard deviation of 40.  Any unsold units at the end of the season are unlikely to be very valuable and will be disposed of in a fire sale for $50 each.  It costs $20 to hold a unit in inventory for the entire season.

  1. How many units should Green Thumb manufacture for sale?
  2. What is the cycle service level (probability of not stocking out) associated with this policy?
  3. If the holding costs increase, how does this affect the optimal number of units to manufacturer and the cycle service level? *Note you can construct a graph if you prefer
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