OPERATIONS MANAGEMENT (LL)-W/ACCESS
OPERATIONS MANAGEMENT (LL)-W/ACCESS
17th Edition
ISBN: 9781260037821
Author: CACHON
Publisher: MCG
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Chapter 14, Problem 2CQ
Summary Introduction

To identify: The statement that is true regarding the standard deviation of demand over five periods.

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Demand in each period follows the same normal distribution (i.e., there is one demand distribution that represents demand in any single period). Assuming demand is independent acrossperiods, which of the following statements about mean demand over five periods is true? a. It equals the mean of demand over one period.b. It is greater than the mean of demand over one period but less than five times the meanof demand over one period.c. It equals five times the mean of demand over one period.d. It is even more than five times the mean of demand over one period.
Suppose that the newsvendor faces integer-valued demand and must choose an integer value of y. We make no assumptions about the demand distribution (other than that it is an integer) or about the relationship between h and p. Prove that y* is the smallest integer y such that F(y) ≥ (r − c)/(r − v) where F is the cdf of the demand distribution. (Hint: Consider calculating the cost difference between two consecutive integer values.)
A retailer uses the order-up-to model to manage inventory of an item in a store. The leadtime for replenishments is four weeks and it can place orders weekly. Weekly demand isPoisson with mean 0.10 unit. Its order-up-to level is five and unfilled demand is backordered. What is the coefficient of variation of its orders?
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