← A company uses the finite replenishment model to determine the optimal quantity to produce. There are 250 days a year over which demand and production occur. The daily demand is 510, and the production rate is 870 per day. The setup cost for production is $575 per setup. Assuming that the carrying cost is 15 percent of the item's $45 cost, what is the length, in days, of a production run if the company produces the replenishment quantity that minimizes its inventory-related costs? The length of the production run is days. (Enter your response rounded to one decimal place.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A company uses the finite replenishment model to determine the optimal quantity to produce. There are 250 days a
year over which demand and production occur. The daily demand is 510, and the production rate is 870 per day. The
setup cost for production is $575 per setup. Assuming that the carrying cost is 15 percent of the item's $45 cost, what
is the length, in days, of a production run if the company produces the replenishment quantity that minimizes its
inventory-related costs?
The length of the production run is
days. (Enter your response rounded to one decimal place.)
Transcribed Image Text:K A company uses the finite replenishment model to determine the optimal quantity to produce. There are 250 days a year over which demand and production occur. The daily demand is 510, and the production rate is 870 per day. The setup cost for production is $575 per setup. Assuming that the carrying cost is 15 percent of the item's $45 cost, what is the length, in days, of a production run if the company produces the replenishment quantity that minimizes its inventory-related costs? The length of the production run is days. (Enter your response rounded to one decimal place.)
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