Part 2: Model specification. Specify a linear programming model for the project plan. Show how time and cost estimates play into the specification. 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. Part 3: Programming. Develop Python PuLP software for the linear programming model. Part 4: Solution. Solve the project plan using best-case, expected, and worst-case time estimates with a minimum-time or minimum-cost objective. Describe your solution. Identify the critical path for the project under each scenario. Construct Gantt charts for the best-case, expected, and worst-case solutions