Nov 2018 Q3 a.
The quarterly demand for an item of raw materials is estimated at 2,000 units at a purchase price of GH¢180 per unit. It is estimated that the cost per order will be GH¢270 and the cost of holding a unit of material in inventory will be GH¢24.
Required:
i) Compute the optimal order quantity, and total minimum costs. (4 marks)
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ii) Suppose a supplier offers 5% quantity discount for purchase of 8,000 units, should the offer be accepted? (3 marks)
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Total cost with discount; purchase cost 8,000 @ 171= 1,368,000.
Ordering cost = 8000÷8000 ×270= 270
Holding cost = 8000÷2×24 = 96,000
The decision should be reject offer.