State whether you think it would be best to pursue a medium-scale expansion or a large-scale expansion. Calculate and compare the expected profits and variances for the medium-scale and large-scale expansions.
State whether you think it would be best to pursue a medium-scale expansion or a large-scale expansion. Calculate and compare the expected profits and variances for the medium-scale and large-scale expansions.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
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State whether you think it would be best to pursue a medium-scale expansion or a large-scale expansion. Calculate and compare the expected profits and variances for the medium-scale and large-scale expansions.

Transcribed Image Text:You are on the board of directors for Sew and Tell, an up and coming apparel brand focusing on
producing t-shirts with a positive message. The company is looking to ramp up production and
has hired an independent consulting group to evaluate the profitability of either a medium or
large scale expansion. Your boss, the company president Jack Pott, has sent you the following
еmail:
Board of Directors Member,
The consulting group has completed the analysis. The following table breaks down the results
with us pursuing either a medium or large scale expansion. It gives low, medium, and high
projections, the associated amount of profits (in thousands of $), and the probability of each
outcome happening.
Medium-Scale Expansion
Profit
Large-Scale Expansion
Profit
Probability
Probability
Low
50
.2
.2
Medium
150
.5
100
.5
High
200
.3
300
.3
Personally, I would love to hit the jackpot and reach a profit of $300,000, but our goal as a
is to maximum profit in the least risky way. Taking into account both the risks and
rewards, do you think we should pursue a medium-scale expansion or a large-scale expansion?
сотрапy
Thanks,
Jack Pott
Expert Solution

Step 1
First we will calculate the expected profit and variance for medium-scale Expansion :
Given Data :
X = Profit | P(X) | |
Low | 50 | 0.2 |
Medium | 150 | 0.5 |
High | 200 | 0.3 |
Calculating the Expected profit :
50 | 0.2 | |
150 | 0.5 | |
200 | 0.3 |
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