Given the following information, formulate an inventory management system. The item is demanded 50 weeks a year.                 Item cost $ 8.00   Standard deviation of weekly demand 25 per week Order cost $ 298.00   Lead time 4 weeks Annual holding cost (%)   29 % of item cost Service probability 98 % Annual demand   28,100         Average demand   562 per week           a. Determine the order quantity and reorder point. (Use Excel's NORMSINV() function to find the correct critical value for the given α-level. Do not round intermediate calculations. Round "z" value to 2 decimal places and final answer to the nearest whole number.)         Optimal order quantity   units Reorder point   units     b. Determine the annual holding and order costs. (Round your answers to 2 decimal places.)         Holding cost $   Ordering cost $       c. Assume a price break of $50 per order was offered for purchase quantities of 2,100 or more units per order. If you took advantage of this price break, how much would you save annually? (Round your answer to 2 decimal places.)     Annual savings $

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Given the following information, formulate an inventory management system. The item is demanded 50 weeks a year.

 

             
Item cost $ 8.00   Standard deviation of weekly demand 25 per week
Order cost $ 298.00   Lead time 4 weeks
Annual holding cost (%)   29 % of item cost Service probability 98 %
Annual demand   28,100        
Average demand   562 per week      
 

 

a. Determine the order quantity and reorder point. (Use Excel's NORMSINV() function to find the correct critical value for the given α-level. Do not round intermediate calculations. Round "z" value to 2 decimal places and final answer to the nearest whole number.)

 

     
Optimal order quantity   units
Reorder point   units
 

 

b. Determine the annual holding and order costs. (Round your answers to 2 decimal places.)

 

     
Holding cost $  
Ordering cost $  
 

 

c. Assume a price break of $50 per order was offered for purchase quantities of 2,100 or more units per order. If you took advantage of this price break, how much would you save annually? (Round your answer to 2 decimal places.)

 

  Annual savings $  
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