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Operations Management
Operations Management
193 SOLVED PROBLEMS
1 SOLVED PROBLEMS
Question: 12.11
Computing Stockout Risk for the Fixed-Interval Model Given the following information: LT = 4 days OI = 12 days d = 10 units/day σ d = 2 units/day A = 43 units Q = 171 units Determine the risk of a stockout at a. The end of the initial lead time. b. The end of the second lead time. ...
Verified Answer:
a. For the risk of stockout for the first lead tim...
Question: C.3
Find the area under the curve that is within two standard deviations of the mean. ...
Verified Answer:
What the problems is asking for: (C.3.1) Appendix ...
Question: C.4
Find the area under the curve that is outside of two standard deviations from the mean. E X A M P L E 4 ...
Verified Answer:
What the problem is asking for: (6.4.1) Appendix B...
Question: C.5
A normal distribution has a mean of 20 and a standard deviation of 1.0. Find the probabilities: a. A value that is 22 or less. b. A value that is 22 or more. ...
Verified Answer:
First, determine the value of z for 22:
z=\...
Question: 17.6
Computing the Probability That a Project Will and Will Not Be Completed by a Specified Time Using the information from Example 5, answer the following questions: a. Can the paths be considered independent? Why? b. What is the probability that the project can be completed within 17 weeks of its start ...
Verified Answer:
a. Yes, the paths can be considered independent, b...
Question: C.2
Using Appendix B Table B.2, find the area under the curve to the left of z = 1.12. ...
Verified Answer:
z − 1.12 becomes 1.1 .0 2 1.12 Find the row where ...
Question: 12.13
Finding the Optimal Stocking Level When Demand Is Normally Distributed Cindy’s Cider Bar also sells a blend of cherry juice and apple cider. Demand for the blend is approximately normal, with a mean of 200 liters per week and a standard deviation of 10 liters per week. Cs = $2.40 per liter, and Ce = ...
Verified Answer:
SL =
SL = \frac{C_s}{C_s + C_e}=\frac{\$2.4...
Question: 12.15
Finding the Optimal Stocking Level When Demand Has a Poisson Distribution Demand for long-stemmed red roses at a small flower shop can be approximated using a Poisson distribution that has a mean of four dozen per day. Profit on the roses is $3 per dozen. Leftover flowers are marked down and sold ...
Verified Answer:
C_s
= $3
C_e
= ...
Question: 12.p.4
Reorder point. This type of problem can be recognized when the demand rate (d ), lead time (LT), and desired service level or stockout risk are given. Use these steps to solve this type of problem: 1. Match the choice of formula to the standard deviation(s) that are given in the problem (e.g., if ...
Verified Answer:
\overline{d}
= 400 bars of soap pe...
Question: 12.p.6
ROP for variable demand rate and variable lead time. The motel replaces broken glasses at a rate of 25 per day. In the past, this quantity has tended to vary normally and have a standard deviation of three glasses per day. Glasses are ordered from a Cleveland supplier. Lead time is normally ...
Verified Answer:
\overline{d}
= 25 glasses per day ...
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Question: C.1
A normal distribution has a mean of 20 and a standard deviation of 2. What is the z value of 17.5? ...
Verified Answer:
x = 17.5 μ = 20 σ = 2 Using the formula for z, we ...
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