Operations Research inventory , Mathematics

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A firm buys a product using the price schedule given in the table:
The company estimate holding costs at 10% of the purchase price per year and ordering costs at $40 per order . the firm''s annual demand is 460 units to optimize costs:
1-determine how often the firm should order
2-determine the size of each order and
3-at what price should the firm order
Price per unit Order size
$20.00 0-99 units
$19.50 100-199 units
$19.00 200-299 units
$18.75 300 or more units

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