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Marantz Inc. produces various AV devices with a wide assortment of different models for its customers. One item, AV3100 is very popular. Keen of keeping

Marantz Inc. produces various AV devices with a wide assortment of different models for its customers. One item, AV3100 is very popular. Keen of keeping its stock under control, a decision is taken to order only the optimum economic quantity, for this item, each time. You have the following information.

Annual demand (units)

48,600

Purchase price per unit

$ 250

Carrying/Holding costs per unit

$ 6

Cost per order

$ 200

Required:

  1. Determine the EOQ using the equation method. 
  2. Fill in the blanks in the following table using the above data. 

 

No. of orders

1

10

20

30

90

120

Order size

 

 

 

 

 

 

Average stock

 

 

 

 

 

 

Carrying (Holding) costs

 

 

 

 

 

 

 

Order costs

 

 

 

 

 

 

 

Total costs

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  1. Calculate the holding, ordering cost & their total cost at the EOQ level. 
  2. Plot the graph at the EOQ level showing the numbers 
  3. Marantz Inc.  has been offered a 3 per cent discount on the cost if it places orders in quantities of 18,200. Discuss whether the company should accept the discount and place larger orders, show your workings. 

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