Practical Management Science
Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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I need a detailed assistance to solve this problem in: Operations Analysis.

3) A chemical manufacturer produces a compound at the rate of 10,000 pounds a day over 250 days each year.  Annual demand for that compound is 600,000 pounds per year, and each pound sells for $3.90.  There is a fixed setup cost of $1,500 for each production run, and a variable cost of $3.50 for each pound produced.  The following costs are incurred:

  • Interest rate on the cost of capital is 22% per annum (annually).
  • Storage and handling costs amount to 12% of the compounds cost per annum.
  • a)- What is the optimal production lot for the compound (write down the model name, its parameters and formula)?

  • b)- Compute the uptime, downtime and cycle time in days, and find the cycle fraction of uptime and the cycle fraction of downtime (include the formula). 
  • c)-  What are average annual holding and setup costs for the compound (include the formula)?
  • d) - What is the annual profit for this compound? 
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