A product with an annual demand of 1,000 units has C = $3 time demand follows a normal probability distribution with u (a) What is the recommended order quantity? (Round you (b) What are the reorder point and safety stock if the firm may need to use the appropriate appendix table or tec integer.) reorder point safety stock (c) If a manager sets the reorder point at 30, what is the p four decimal places.) How many times would you expect a stock-out during t integer.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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Only need help with question “b” and “c”
A product with an annual demand of 1,000 units has C = $27.50 and Ch = $7. The demand exhibits some variability such that the lead-
time demand follows a normal probability distribution with μ = 25 and o = 5.
(a) What is the recommended order quantity? (Round your answer to the
earest integer.)
(b) What are the reorder point and safety stock if the firm desires at most a 4% probability of stock-out on any given order cycle? (You
may need to use the appropriate appendix table or technology to answer this question. Round your answers to the nearest
integer.)
reorder point
safety stock
(c) If a manager sets the reorder point at 30, what is the probability of a stock-out on any given order cycle? (Round your answer to
four decimal places.)
How many times would you expect a stock-out during the year if this reorder point were used? (Round your answer to the nearest
integer.)
Transcribed Image Text:A product with an annual demand of 1,000 units has C = $27.50 and Ch = $7. The demand exhibits some variability such that the lead- time demand follows a normal probability distribution with μ = 25 and o = 5. (a) What is the recommended order quantity? (Round your answer to the earest integer.) (b) What are the reorder point and safety stock if the firm desires at most a 4% probability of stock-out on any given order cycle? (You may need to use the appropriate appendix table or technology to answer this question. Round your answers to the nearest integer.) reorder point safety stock (c) If a manager sets the reorder point at 30, what is the probability of a stock-out on any given order cycle? (Round your answer to four decimal places.) How many times would you expect a stock-out during the year if this reorder point were used? (Round your answer to the nearest integer.)
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