A company needs 550,000 items per year. It costs the company $330 to prepare a production run of these items and $5 to produce each item. If it also costs the company $0.75 per year for each item stored, find the number of items that should be produced in each run so that total costs of production and storage are minimized. items/run

Company A

The number of items that should be produced in each run to minimize total costs of production and storage is:

= 22,000 units

Explanation:

a) Data and Calculations:

Total annual demand = 550,000 units

Cost per production run = $330

Cost per unit = $5

Storage (holding) cost per item = $0.75

The number of items that should be produced in each run to minimize total costs of production and storage is given by Economic Order Quantity (EOQ) formula

= square root of (2 * 550,000 * $330)/$0.75

= square root of $363,000,000/$0.75

= square root of 484,000,000

= 22,000 units

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