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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
The Radford hardware store expects to sell 1,500 electric garbage disposal units in the
coming year. Demand for this product is fairly stable over the year. It costs $20 to place
an order for these units and the company assumes a 20% annual holding cost on inventory.
The following price structure applies to Radford's purchases of this product:
Order Quantity
0 to 499 500 to 999 1,000 and up
Price per Unit $35 $33 $31
Â
So if Radford orders 135 units, they pay $35 per unit; if they order 650, they pay
$33 per unit; and if they order 1,200, they pay $31 per unit.
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a. What is the most economical order quantity and total cost of this solution? (Hint:
Solve a separate EOQ problem for each of the order quantity ranges given and
select the solution that yields the lowest total cost.)
b. Suppose the discount policy changed so that Radford had to pay $35 for the first
499 units ordered, $33 for the next 500 units ordered, and $31 for any additional
units. What is the most economical order quantity and what is the total cost of
this solution?
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