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Abey​ Kuruvilla, of Parkside​ Plumbing, uses 1190 of a certain spare part that costs ​$24 for...

Abey​ Kuruvilla, of Parkside​ Plumbing, uses 1190 of a certain spare part that costs

​$24 for each​ order, with an annual holding cost of ​$23.

​a) Calculate the total cost for order sizes of​ 25, 40,​ 50, 60, and 100 ​(round your responses to two decimal​ places).

​b) What is the economic order​ quantity? ___units ​(round your response to two decimal​ places)
.

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Answer #1

Answer a is in BOLD

Annual demand, D= 1190 1190 1190 1190 1190
cost per order $24.00 $24.00 $24.00 $24.00 $24.00
holding cost per year= $23.00 $23.00 $23.00 $23.00 $23.00
Q= 25.00 40.0 50.0 60.0 100.0
#orders per year = Annual demand/ordered quantity 47.60 29.75 23.80 19.83 11.90
annual holding cost= Q*holding cost per year/2 $287.50 $460.00 $575.00 $690.00 $1,150.00
Total order cost= No. of orders*order cost $1,142.40 $714.00 $571.20 $476.00 $285.60
Answer a total ordering+holding cost $1,429.90 $1,174.00 $1,146.20 $1,166.00 $1,435.60

Answer b: EOQ= 49.83units

Explanation:

Annual demand, D= 1190
cost per order $24.00
holding cost per year= $23.00
EOQ= SQRT(2*Cost per order*D/holding cost per year) 49.83

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