Tag (SQ): Economic Order Quantity

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Calculate the EOQ for an item with given demand, costs, and holding expenses to minimize annual costs.

Entity G uses 105 units of an item of inventory every week. These cost GH₵150 per unit. They are stored in special storage units and the variable costs of holding the item is GH₵4 per unit each year plus 2% of the inventory’s cost.

Required
(a) If placing an order for this item of material costs GH₵390 for each order, what is the optimum order quantity to minimise annual costs? Assume that there are 52 weeks in each year.

(b) Suppose that the supplier offers a discount of 1% on the purchase price for order sizes of 2,000 units or more. What will be the order size to minimise total annual costs?

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Evaluate if Kweku Ltd should accept a foreign supplier's discount offer for groundnut orders, comparing EOQ and special order costs.

Kweku Ltd, a manufacturer of groundnut paste, is evaluating whether to continue with its economic order quantity (EOQ) or accept a special order from a foreign supplier for groundnut purchases. The relevant financial data is provided below:

Description Value
Purchase price per bag of groundnut GH¢360
Holding cost per annum (10% of the cost of a bag of groundnut) GH¢36
Ordering cost per order GH¢7.70
Annual demand of groundnut paste 6,240 bags
Normal usage per month 520 bags
Minimum usage per month Not specified
Maximum usage Not specified

Required:
The foreign supplier offers an 8% reduction in the price per bag of groundnut if Kweku Ltd orders 3,000 bags each time. Advise Kweku Ltd on whether to accept the supplier’s offer.

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