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5.21 There are three resource types available for a certain project. One unit of each resource type is available. The project manager wants to evaluate the project cost on the basis of how resource teams are made up. She has the option of using a resource team, where the team can consist of only one resource type or a combination of resource types. If the team consists of more than one resource type, the resources will start and stop working at the same time. Fractions of a workday are permissive with prorated cost. Resource 1 can complete the project alone in 50 days at a cost of $2,500/day. Resource 2 can complete the project alone in 35 days at a cost of $5,750/day. Resource 3 can complete the project alone in 75 days at a cost of $1,500/day. The resources produce identical quality of work. a) Determine the team composition that will yield the minimum project cost. b) What is the project duration corresponding to that minimum cost? Plot all the project costs versus the respective project durations.

5.21 There are three resource types available for a certain project. One unit of each resource type is available. The project manager wants to evaluate the project cost on the basis of how resource teams are made up. She has the option of using a resource team, where the team can consist of only one resource type or a combination of resource types. If the team consists of more than one resource type, the resources will start and stop working at the same time. Fractions of a workday are permissive with prorated cost. Resource 1 can complete the project alone in 50 days at a cost of $2,500/day. Resource 2 can complete the project alone in 35 days at a cost of $5,750/day. Resource 3 can complete the project alone in 75 days at a cost of $1,500/day. The resources produce identical quality of work. a) Determine the team composition that will yield the minimum project cost. b) What is the project duration corresponding to that minimum cost? Plot all the project costs versus the respective project durations.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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5.21 There are three resource types available for a certain project. One unit of each resource type is available. The project manager wants to evaluate the project cost on the basis of how resource teams are made up. She has the option of using a resource team, where the team can consist of only one resource type or a combination of resource types. If the team consists of more than one resource type, the resources will start and stop working at the same time. Fractions of a workday are permissive with prorated cost. Resource 1 can complete the project alone in 50 days at a cost of $2,500/day. Resource 2 can complete the project alone in 35 days at a cost of $5,750/day. Resource 3 can complete the project alone in 75 days at a cost of $1,500/day. The resources produce identical quality of work. a) Determine the team composition that will yield the minimum project cost. b) What is the project duration corresponding to that minimum cost? Plot all the project costs versus the respective project durations.
Transcribed Image Text:5.21 There are three resource types available for a certain project. One unit of each resource type is available. The project manager wants to evaluate the project cost on the basis of how resource teams are made up. She has the option of using a resource team, where the team can consist of only one resource type or a combination of resource types. If the team consists of more than one resource type, the resources will start and stop working at the same time. Fractions of a workday are permissive with prorated cost. Resource 1 can complete the project alone in 50 days at a cost of $2,500/day. Resource 2 can complete the project alone in 35 days at a cost of $5,750/day. Resource 3 can complete the project alone in 75 days at a cost of $1,500/day. The resources produce identical quality of work. a) Determine the team composition that will yield the minimum project cost. b) What is the project duration corresponding to that minimum cost? Plot all the project costs versus the respective project durations.
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