Palin’s Muffler Shop has one standard muffler that fits a large variety of cars. The shop wishes to establish a periodic review system to manage inventory of this standard muffler. Use the information in the following table to determine the optimal inventory target level (or order-up-to level).                   Annual demand   2,750 mufflers Ordering cost $ 35 per order Standard deviation of daily demand   6 mufflers per working day Service probability   76 % Item cost $ 28.00 per muffler Lead time   4 working days Annual holding cost   22 % of item value Working days   275 per year Review period   21 working days             a. What is the optimal target level (order-up-to level)?      If the service probability requirement is 93 percent, the optimal target level will: Increase Decrease Stay the same

Practical Management Science
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Palin’s Muffler Shop has one standard muffler that fits a large variety of cars. The shop wishes to establish a periodic review system to manage inventory of this standard muffler. Use the information in the following table to determine the optimal inventory target level (or order-up-to level).

 

               
Annual demand   2,750 mufflers Ordering cost $ 35 per order
Standard deviation of daily demand   6 mufflers per working day Service probability   76 %
Item cost $ 28.00 per muffler Lead time   4 working days
Annual holding cost   22 % of item value Working days   275 per year
Review period   21 working days        
 

 

a. What is the optimal target level (order-up-to level)? 

 

 

If the service probability requirement is 93 percent, the optimal target level will:

  • Increase
  • Decrease
  • Stay the same

 

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