khloenm309
07.04.2020 •
Business
Thomas Kratzer is the purchasing manager for the headquarters of a large insurance company chain with a central inventory operation. Thomas's fastest-moving inventory item has a demand of 6 comma 100 units per year. The cost of each unit is $98, and the inventory carrying cost is $9 per unit per year. The average ordering cost is $29 per order. It takes about 5 days for an order to arrive, and the demand for 1 week is 122 units. (This is a corporate operation, and there are 250 working days per year). a) What is the EOQ? 198.27 units (round your response to two decimal places). b) What is the average inventory if the EOQ is used? 99.14 units (round your response to two decimal places). c) What is the optimal number of orders per year? 30.76 orders (round your response to two decimal places). d) What is the optimal number of days in between any two orders? 8.12 days (round your response to two decimal places). e) What is the annual cost of ordering and holding inventory? $ nothing per year (round your response to two decimal places).
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Ответ:
SEE EXPLANATION
A. 198.27 UNITS
B. 99.14 UNITS
C. 30.76 ORDERS
D. 8.12 DAYS
E. $1,784.43
Explanation:
Given the following ;
Annual order = 6,100
Carrying cost = $9 per unit per year
Ordering cost = $29
A) EOQ =sqrt[( 2 × Annual order × (ordering cost ÷ carrying cost)]
EOQ = sqrt[2 ×6100 × (29÷9)]
EOQ = sqrt(12200 × 3.22222222)
EOQ = 198.27 units
B.) AVERAGE INVENTORY :
EOQ ÷ 2
198.27 ÷ 2 = 99.14 UNITS
C.) Optimal number of orders per year:
Demand / order per year
6,100 ÷ 198.27 = 30.76 orders
D.) Optimal number of days between two orders:
Number of working days ÷ optimal number of orders
250 ÷ 30.76 = 8.12 days.
E.) Annual cost of ordering and holding inventory:
$198.27 × $9 = $1,784.43
Ответ:
the bending could help it from shaking real bad and could stop the beams from breaking