5. A professional basketball team just missed making the playoffs last season and believes it only needs to sign one very good free agent to make the playoffs next season. The team is considering four players: Morris, O'Neal, Jackson, and Gordon. Each player differs according to position, ability, and attractiveness to fans. The payoffs (in $ millions) to the team for each player based on their contract, profits from attendance, and team product sales for several different seasonal outcomes are provided in the following table. Season Outcome Player Loser Competitive Playoffs Morris $-3.2 $1.3 $4.4 O'Neal -5.1 1.8 6.3 Jackson -2.7 0.7 5.8 Gordon -6.3 -1.6 9.6 Determine the best decision using the following decision criteria. a) Maximax b) The management has determined the following probabilities of the occurrence of each future seasonal outcome for each player: Probability Loser Competitive Playoffs 0.55 0.30 0.26 0.56 0.32 0.47 0.25 0.45 Player Morris 0.15 O'Neal 0.18 Jackson 0.21 Gordon 0.30 Compute the expected value for each player and indicate which player the team should try to sign.
5. A professional basketball team just missed making the playoffs last season and believes it only needs to sign one very good free agent to make the playoffs next season. The team is considering four players: Morris, O'Neal, Jackson, and Gordon. Each player differs according to position, ability, and attractiveness to fans. The payoffs (in $ millions) to the team for each player based on their contract, profits from attendance, and team product sales for several different seasonal outcomes are provided in the following table. Season Outcome Player Loser Competitive Playoffs Morris $-3.2 $1.3 $4.4 O'Neal -5.1 1.8 6.3 Jackson -2.7 0.7 5.8 Gordon -6.3 -1.6 9.6 Determine the best decision using the following decision criteria. a) Maximax b) The management has determined the following probabilities of the occurrence of each future seasonal outcome for each player: Probability Loser Competitive Playoffs 0.55 0.30 0.26 0.56 0.32 0.47 0.25 0.45 Player Morris 0.15 O'Neal 0.18 Jackson 0.21 Gordon 0.30 Compute the expected value for each player and indicate which player the team should try to sign.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Transcribed Image Text:5. A professional basketball team just missed making the playoffs last season and
believes it only needs to sign one very good free agent to make the playoffs next season. The
team is considering four players: Morris, O'Neal, Jackson, and Gordon. Each player differs
according to position, ability, and attractiveness to fans. The payoffs (in $ millions) to the team
for each player based on their contract, profits from attendance, and team product sales for
several different seasonal outcomes are provided in the following table.
Season Outcome
Loser Competitive | Playoffs
$1.3
$4.4
1.8
6.3
0.7
5.8
-1.6
9.6
Player
Morris $-3.2
O'Neal -5.1
Jackson -2.7
Gordon -6.3
Determine the best decision using the following decision criteria.
a) Maximax
b) The management has determined the following probabilities of the occurrence of each
future seasonal outcome for each player:
Probability
Loser Competitive Playoffs
0.55
0.30
0.26
0.56
0.32
0.47
0.25
0.45
Player
Morris 0.15
O'Neal 0.18
Jackson 0.21
Gordon 0.30
Compute the expected value for each player and indicate which player the team should try to sign.
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