management science solution
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Transcript of management science solution
Starting Right:
There are two events: a favorable market (event 1) and an unfavorable market (event 2). There are four alternatives, which include do nothing (alternative 1), invest in corporate bonds (alternative 2), invest in preferred stock (alternative 3), and invest in common stock (alter-native 4). The decision table with returns is presented below.
Event 1 Event 2Alternative 1 0 0Alternative 2 25,273 -10,000Alternative 3 90,000 -15,000Alternative 4 210,000 -30
Maximin
Alternative Expected Value1 02 -10,0003 -15,0004 -30,000
Best: Alternative 1
Maximax
Alternative Maximax Payoff1 02 25,2733 90,0004 210,000
Best : Alternative 4
Hurwicz alpha coefficient: 0.110
Minimax
Alternative Maximum Regret1 210,000
2 184,7273 120,0004 30,0
Best : Alternative 4
Ans 1: a. Sue Pansky is a risk avoider and should use the maximin decision approach. She should do nothing and not make an investment in Starting Right.
Ans 2: Ray Cahn should use a coefficient of realism of 0.11. The best decision is to do nothing.
Ans 3: Lila Battle should eliminate alternative 1 of doing nothing and apply the maximin criterion. The result is to invest in the corporate bonds.
Ans 4: George Yates should use the equally likely decision criterion. The best decision for George is to invest in common stock.
Ans 5: Pete Metarko is a risk seeker. He should invest in common stock.
Ans 6: Julia Day can eliminate the preferred stock alternative and still offer alternatives to risk seekers (common stock) and risk avoiders (doing nothing or investing in corporate bonds).
Case Study 2
Abbreviations and values used in the following decision trees:
Normal - proceed with research and development at a normal pace
6 Month - Adopt the 6-month program: if a competitor’s product is available
at the end of 6 months, then copy; otherwise proceed with research and
development.
8 Month - Adopt the 6-month program: proceed for 8 months; if no
competition at 8 months, proceed; otherwise stop development
Success or failure of development effort:
Ok—Development effort ultimately a success
No—Development effort ultimately a failure
Column:
S—Sales revenue
R—research and development expenditures
E—Equipment costs
I—Introduction to market costs
Market size and Revenues:
Without WithCompetition Competition
S—Substantial (P = 0.1) $800,000 $400,000
M—Moderate (P = 0.6) $600,000 $300,000
L—Low (P = 0.3) $500,000 $250,000
Competition:
C6—Competition at end of 6 months (P = .5)
No C6—No competition at end of 6 months (P = .5)
C8—Competition at end of 8 months (P = .6)
No C8—No competition at end of 8 months (P = .4)
C12—Competition at end of 12 months (P = .8)
No C12—No competition at end of 12 months (P = .2)
The optimal program is to adopt 6-month program