Emerald manufactures large screen televisions. Their best-selling model has annual demand of approximately 8,000 units. each year. Because of its popularity demand is constant throughout the year. Production capacity is 200 units per day. Setup costs for each production run are $120 while holding costs are $50 per year per television. The current production plan calls for 400 televisions to be produced in each run. Assume there are 250 working days per year. If the current policy continues, how many televisions would be in inventory when production stops? What would the average inventory level be? If the company produces 400 televisions at a time, what would the total annual setup cost and holding cost be?  If Emerald wants to minimise the total annual inventory cost, how many televisions should be produced in each production run?  How much would this save the company in inventory costs compared to the current policy of producing 400 in each production run?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Emerald manufactures large screen televisions. Their best-selling model has annual demand of approximately 8,000 units. each year. Because of its popularity demand is constant throughout the year. Production capacity is 200 units per day. Setup costs for each production run are $120 while holding costs are $50 per year per television. The current production plan calls for 400 televisions to be produced in each run. Assume there are 250 working days per year.

  1. If the current policy continues, how many televisions would be in inventory when production stops? What would the average inventory level be?

  2. If the company produces 400 televisions at a time, what would the total annual setup cost and holding cost be? 

  3. If Emerald wants to minimise the total annual inventory cost, how many televisions should be produced in each production run?  How much would this save the company in inventory costs compared to the current policy of producing 400 in each production run?

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