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XYZ Co. would like to install a new computer system, which must be completed in 15 months. Or else, there would be a penalty cost (i.e. ineffective use of resources, extra manpower, etc.) of $4000 for each month beyond 15 months. The direct costs of the installation involves an overhead cost of $600 for each month until completion. The company has two options, either to set up its own team internally or outsource to another company, ABC Ltd., for the installation. If XYZ Co. uses its own team, there is a 30% chance that the installation can be completed in 14 months, 50% chance to be completed in 15 months, and 20% chance to be completed in 16 months. On the other hand, if the project is outsourced to ABC Ltd., there is a 20% chance that the installation can be completed in 13 months, 40% chance to be completed in 14 months, 30% chance to be completed in 15 months, and 10% chance to be completed in 16 months. However, ABC Ltd. requires a bonus of $1000 per month if the project can be completed in less than 15 months. Draw a decision tree for this problem and calculate the EMV for all courses of action. Hence, determine the optimal choice of XYZ Co. based on the EMV criterion.

XYZ Co. would like to install a new computer system, which must be completed in 15 months. Or else, there would be a penalty cost (i.e. ineffective use of resources, extra manpower, etc.) of $4000 for each month beyond 15 months. The direct costs of the installation involves an overhead cost of $600 for each month until completion. The company has two options, either to set up its own team internally or outsource to another company, ABC Ltd., for the installation. If XYZ Co. uses its own team, there is a 30% chance that the installation can be completed in 14 months, 50% chance to be completed in 15 months, and 20% chance to be completed in 16 months. On the other hand, if the project is outsourced to ABC Ltd., there is a 20% chance that the installation can be completed in 13 months, 40% chance to be completed in 14 months, 30% chance to be completed in 15 months, and 10% chance to be completed in 16 months. However, ABC Ltd. requires a bonus of $1000 per month if the project can be completed in less than 15 months. Draw a decision tree for this problem and calculate the EMV for all courses of action. Hence, determine the optimal choice of XYZ Co. based on the EMV criterion.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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XYZ Co. would like to install a new computer system, which must be completed in 15 months. Or else, there would be a penalty cost (i.e. ineffective use of resources, extra manpower, etc.) of $4000 for each month beyond 15 months. The direct costs of the installation involves an overhead cost of $600 for each month until completion. The company has two options, either to set up its own team internally or outsource to another company, ABC Ltd., for the installation. If XYZ Co. uses its own team, there is a 30% chance that the installation can be completed in 14 months, 50% chance to be completed in 15 months, and 20% chance to be completed in 16 months. On the other hand, if the project is outsourced to ABC Ltd., there is a 20% chance that the installation can be completed in 13 months, 40% chance to be completed in 14 months, 30% chance to be completed in 15 months, and 10% chance to be completed in 16 months. However, ABC Ltd. requires a bonus of $1000 per month if the project can be completed in less than 15 months. Draw a decision tree for this problem and calculate the EMV for all courses of action. Hence, determine the optimal choice of XYZ Co. based on the EMV criterion.
Transcribed Image Text:XYZ Co. would like to install a new computer system, which must be completed in 15 months. Or else, there would be a penalty cost (i.e. ineffective use of resources, extra manpower, etc.) of $4000 for each month beyond 15 months. The direct costs of the installation involves an overhead cost of $600 for each month until completion. The company has two options, either to set up its own team internally or outsource to another company, ABC Ltd., for the installation. If XYZ Co. uses its own team, there is a 30% chance that the installation can be completed in 14 months, 50% chance to be completed in 15 months, and 20% chance to be completed in 16 months. On the other hand, if the project is outsourced to ABC Ltd., there is a 20% chance that the installation can be completed in 13 months, 40% chance to be completed in 14 months, 30% chance to be completed in 15 months, and 10% chance to be completed in 16 months. However, ABC Ltd. requires a bonus of $1000 per month if the project can be completed in less than 15 months. Draw a decision tree for this problem and calculate the EMV for all courses of action. Hence, determine the optimal choice of XYZ Co. based on the EMV criterion.
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