Using the information in the image below, how do I set up a linear programming model for the project plan with these parameters

1.  Show how time and cost estimates play into the specification.
2.  In specifying the objective function, you can make the simplifying assumption that all contributors to the project charge the same hourly rate. That is, a minimum total time solution will be the same as a minimum total cost solution.
3. Solve the project plan using best-case, expected, and worst-case time estimates with a minimum-time or minimum-cost objective. 
4.  Identify the critical path for the project under each scenario

  

Transcribed Image Text:

task Describe product Develop marketing strategy Design brochure Develop product prototype Requirements analysis Software design System design Coding Write documentation Unit testing System testing Package deliverables Survey potential market Develop pricing plan Develop implementation plan Write client proposal Rate Card: Project Manager Data Engineer Data Scientist Front End Developer Back End Developer predecessor TaskIDs A A D1 D1 D2, D3 D4 D4 D6 D5, D7 B, C D8, E A, D8 F, G $175 $175 $175 $175 $175 bestCaseHours 1 1 2 2 10 10 10 2 16 16 2 6 1 1 2 expectedHours 2 2 4 4 16 16 16 4 24 24 4 10 2 2 4 worstCaseHours project Manag frontend Develo backend Develope per er 3 X 4 X 6 X 8 X 24 24 24 8 X 32 X 32 X 6 X 16 X 4 X 4 X 8 X X X X X X X X r X X X X X X X data Scientist X X X X X X X X dataEngineer X X X X X X X Completion Times 2 2 4 8 24 24 24 8 32 32 2 6 1 1 2 task Describe product Develop marketing strategy Design brochure Develop product prototype Requirements analysis Software design System design Coding Write documentation Unit testing System testing Package deliverables Survey potential market Develop pricing plan Develop implementation plan Write client proposal Rate Card: Project Manager Data Engineer Data Scientist Front End Developer Back End Developer predecessor TaskIDs A A D1 D1 D2, D3 D4 D4 D6 D5, D7 B, C D8, E A, D8 F, G $175 $175 $175 $175 $175 bestCaseHours 1 1 2 2 10 10 10 2 16 16 2 6 1 1 2 expectedHours 2 2 4 4 16 16 16 4 24 24 4 10 2 2 4 worstCaseHours project Manag frontend Develo backend Develope per er 3 X 4 X 6 X 8 X 24 24 24 8 X 32 X 32 X 6 X 16 X 4 X 4 X 8 X X X X X X X X r X X X X X X X data Scientist X X X X X X X X dataEngineer X X X X X X X Completion Times 2 2 4 8 24 24 24 8 32 32 2 6 1 1 2

Answer rating: 100% (QA)

To set up a linear programming model for the project plan with the given parameters we will consider the activities as tasks that need to be completed ... View the full answer