A company is planning to purchase 90,800 units of a particular item in the year ahead. The item is purchased in boxes each containing 10units of the item, at a price of $200 per box. A safety inventory of 250 boxes is kept. Besides, the company estimates to be charged the transporation cost of $15 per order. It should be assumed that ordering costs change in proportion to the number of orders place. The cost of holding an item in inventory for a year (including insurance, interest and space costs) is 15% of the purchase price. The cost of placing and receiving orders is to be estimated from cost data collected relating to similar orders, where costs of $5,910 were incurred on 30 orders. It should be assumed that ordering costs change in proportion to the number of orders placed. 2% should be added to the above ordering costs to allow for inflation. Assume that usage of the item will be even over the year. Required a. Calculate the order quantity that would minimize the cost b. Determine number of order in a year. c. Determine the required frequency of placing orders (in week)
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A company is planning to purchase 90,800 units of a particular item in the year ahead. The item is purchased in boxes each containing 10units of the item, at a price of $200 per box. A safety inventory of 250 boxes is kept.
Besides, the company estimates to be charged the transporation cost of $15 per order. It should be assumed that ordering costs change in proportion to the number of orders place. The cost of holding an item in inventory for a year (including insurance, interest and space costs) is 15% of the purchase price.
The cost of placing and receiving orders is to be estimated from cost data collected relating to similar orders, where costs of $5,910 were incurred on 30 orders. It should be assumed that ordering costs change in proportion to the number of orders placed. 2% should be added to the above ordering costs to allow for inflation. Assume that usage of the item will be even over the year.
Required
a. Calculate the order quantity that would minimize the cost
b. Determine number of order in a year.
c. Determine the required frequency of placing orders (in week)
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