Statistics Case Study
Case 1
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| Medium |
-Scale
Large-Scale |
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| Expansion Profits |
Expansion Profits
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| Annual Profit
($1
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| 0 |
00s)
| P(x) |
Annual Profit
($
| 100 |
0s) P(x)
Write a 1,0
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| 50 |
-word report based on the Bell Computer Company Forecasts data set and Case Study Scenarios.
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| Demand |
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| Low |
50
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| 20% |
0 20%
Medium
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| 150 |
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| 50% |
100 50%
Include answers to the following: |
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| High |
| 200 |
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| 30% |
| 300 |
30%
| Case 1: Bell Computer Company |
| Expected Profit ($1000s) |
Compute the expected value for the profit associated with the two expansion alternatives. Which decision is preferred for the objective of maximizing the expected profit? |
| Compute the variation for the profit associated with the two expansion alternatives. Which decision is preferred for the objective of minimizing the risk or uncertainty? |
| Risk Analysis for Medium-Scale Expansion |
Demand
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| Annual Profit (x)
$1000s |
| Probability P(x) |
| (x – µ) |
| (x – µ)2 |
| (x – µ)2 * P(x) |
Case 2: Kyle Bits and Bytes |
Low 50 20%
| What should be the re-order point? How many HP laser printers should he have in stock when he re-orders from the manufacturer? |
Medium 150 50%
High 200 30%
| Format your assignment consistent with APA format. |
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| σ2 = |
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| σ = |
| Risk Analysis for Large-Scale Expansion |
Demand Annual Profit (x)
$1000s Probability P(x) (x – µ) (x – µ)2 (x – µ)2 * P(x)
Low 0 20%
Medium 100 50%
High 300 30%
σ2 =
σ =
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Title
ABC/
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23 Version X
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1
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This assignment has two cases. The first case is on expansion strategy. Managers constantly have to make decisions under uncertainty. This assignment gives students an opportunity to use the mean and standard deviation of probability distributions to make a decision on expansion strategy. The second case is on determining at which point a manager should re-order a printer so he or she doesn’t run out-of-stock. The second case uses normal distribution. The first case demonstrates application of statistics in finance and the second case demonstrates application of statistics in operations management.
Case Study – Bell Computer Company
The Bell Computer Company is considering a plant expansion enabling the company to begin production of a new computer product. You have obtained your MBA from the University of Phoenix and, as a vice-president, you must determine whether to make the expansion a medium- or large- scale project. The demand for the new product involves an uncertainty, which for planning purposes may be low demand, medium demand, or high demand. The probability estimates for the demands are 0.20, 0.50, and 0.30, respectively.
Case Study – Kyle Bits and Bytes
Kyle Bits and Bytes, a retailer of computing products sells a variety of computer-related products. One of Kyle’s most popular products is an HP laser printer. The average weekly demand is 200 units. Lead time (lead time is defined as the amount of time between when the order is placed and when it is delivered) for a new order from the manufacturer to arrive is one week.
If the demand for printers were constant, the retailer would re-order when there were exactly 200 printers in inventory. However, Kyle learned demand is a random variable in his Operations Management class. An analysis of previous weeks reveals the weekly demand standard deviation is 30. Kyle knows if a customer wants to buy an HP laser printer but he has none available, he will lose that sale, plus possibly additional sales. He wants the probability of running short (stock-out) in any week to be no more than 6%.
Copyright © XXXX by University of Phoenix. All rights reserved.
Copyright © 2017 by University of Phoenix. All rights reserved.
