Ray wishes to determine the optimal order quantity for its best- selling bike in his bike store. Ray pays the supplier a wholesale price of $87 each for this bike. Ray has estimated the average daily demand for this bike is 31 units. The store opens 254 days a year. The cost to carry one bike in the store for a whole year is 7% of the unit bike cost. Ray has estimated that, on average, the order processing cost, i.e., ordering cost, with the bike supplier each time is $114, and it roughly takes 20 working days to receive the order from the supplier. Ray wishes to avoid the stock-out situation with a probability of 95%, and this requires Ray to carry a safety stock of 30 bikes in the store. What is the optimal order quantity (EOQ value) that Ray should order each time from the bike supplier to minimize his long-run inventory cost?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter12: Sequences, Series And Binomial Theorem
Section12.3: Geometric Sequences And Series
Problem 12.57TI: What is the total effect on the economy of a government tax rebate of $1,000 to each household in...
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Ray wishes to determine the
optimal order quantity for its best-
selling bike in his bike store. Ray
pays the supplier a wholesale price
of $87 each for this bike. Ray has
estimated the average daily demand
for this bike is 31 units. The store
opens 254 days a year. The cost to
carry one bike in the store for a
whole year is 7% of the unit bike
cost. Ray has estimated that, on
average, the order processing cost,
i.e., ordering cost, with the bike
supplier each time is $114, and it
roughly takes 20 working days to
receive the order from the supplier.
Ray wishes to avoid the stock-out
situation with a probability of 95%,
and this requires Ray to carry a
safety stock of 30 bikes in the
store.
What is the optimal order quantity
(EOQ value) that Ray should order
each time from the bike supplier to
minimize his long-run inventory
cost?
Numbers only, keep 3-decimal if not
exact, either round up or down is ok.
Transcribed Image Text:? Ray wishes to determine the optimal order quantity for its best- selling bike in his bike store. Ray pays the supplier a wholesale price of $87 each for this bike. Ray has estimated the average daily demand for this bike is 31 units. The store opens 254 days a year. The cost to carry one bike in the store for a whole year is 7% of the unit bike cost. Ray has estimated that, on average, the order processing cost, i.e., ordering cost, with the bike supplier each time is $114, and it roughly takes 20 working days to receive the order from the supplier. Ray wishes to avoid the stock-out situation with a probability of 95%, and this requires Ray to carry a safety stock of 30 bikes in the store. What is the optimal order quantity (EOQ value) that Ray should order each time from the bike supplier to minimize his long-run inventory cost? Numbers only, keep 3-decimal if not exact, either round up or down is ok.
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