Tag (SQ): Discount Analysis

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?