Item X is a standard item stocked in a company’s inventory of component parts. Each year the firm, on a random basis, uses about 2,000 of item X, which costs $25 each. Storage costs, which include insurance and cost of capital, amount to $5 per unit of average inventory. Every time an order is placed for more of item X, it costs $10. a. Whenever item X is ordered, what should the order size be? b. What is the annual cost for ordering item X? c. What is the annual cost for storing item X?
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a.
The Quantity to be ordered, Qopt is the optimum quantity that should be ordered normally termed as Economic Order Quantity (EOQ).
It is calculated as:

Where, D is the annual demand, S is the ordering or set up cost and H is holding cost.
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