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
icon
Related questions
Question
100%

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.

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
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 :

XX p(X)p(X) Xp(X) X \cdot p(X)
50 0.2 500.2=1050\cdot 0.2 = 10
150 0.5 1500.5=75150\cdot 0.5 = 75
200 0.3 2000.3=60200\cdot 0.3 = 60

E(X)=i=1nXip(Xi)=500.2+1500.5+2000.3=145

 

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman