One Cycle Limited (OCL) is a manufacturer of sports bicycles. The company uses Pirelli-P44X tyres in its sports bicycles. The following information is provided in relation to Pirelli-P44X tyres for the year 2021. The annual demand for Pirelli-P44X tyres is 400,000 tyres. The ordering cost per order is Kshs 10,500. The Holding cost per unit of Pirelli-P44X tyre is Shs 158. Required; Calculate the Economic order Quantity (EOQ) for the Pirelli-P44X tyres using the information provided above             Calculate the total ordering cost and the total holding cost if the reorder quantity is as per the EOQ computed in (i) above. Explain the trade-off that occurs between the ordering cost and the holding cost as the order quantity increases Explain two assumptions of the Economic order Quantity (EOQ)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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One Cycle Limited (OCL) is a manufacturer of sports bicycles. The company uses Pirelli-P44X tyres in its sports bicycles. The following information is provided in relation to Pirelli-P44X tyres for the year 2021.

  • The annual demand for Pirelli-P44X tyres is 400,000 tyres.
  • The ordering cost per order is Kshs 10,500.
  • The Holding cost per unit of Pirelli-P44X tyre is Shs 158.

Required;

  1. Calculate the Economic order Quantity (EOQ) for the Pirelli-P44X tyres using the information provided above            
  2. Calculate the total ordering cost and the total holding cost if the reorder quantity is as per the EOQ computed in (i) above.
  3. Explain the trade-off that occurs between the ordering cost and the holding cost as the order quantity increases
  4. Explain two assumptions of the Economic order Quantity (EOQ)
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