The Treasure Manufacturing Company uses 100,000 units of Material M a year. It costs the company \(\$ 2\) a year to carry a unit of the material, and \(\$ 20\) to process a purchase order. Material \(\mathrm{M}\) can be purchased from a supplier according to the following price schedule:

{Required.}
Determine the optimal order quantity.

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0 - 1,999 units 2,000 - 3,999 units $10.00 per unit 9.80 per unit 4,000 - 5,999 units 9.60 per unit 6,000 - 7,999 units 9.40 per unit 8,000 - 9,999 units 9.20 per unit 10,000 or more units 9.00 per unit