Question: Problem 3 (25 pts) A project manager is in charge of 3 ongoing projects, A, B, and C. Due to recent reorganization, the project manager

Problem 3 (25 pts) A project manager is in charge of 3 ongoing projects, A, B, and C. Due to recent reorganization, the project manager can assign additional employees to the 3 projects. Each employee who is assigned to a project can reduce the time to complete the project. A maximum number of employees may be assigned to each project. Table 3 below summarizes the data for the 3 projects. For instance, at most 5 employees may be assigned to project A. Each employee assigned to project A reduces the completion time by 3 days. (For example, if 3 employees are assigned to project A, its completion time is reduced by 9 days.) Total 11 employees are available. The project manager must maximize the least reduction among all 3 projects. For instance, if we can reduce the completion time of projects A, B, and C by 6, 8, and 9 days, respectively, the least reduction among all 3 projects is 6 days. Please formulate an LP model that helps the project manager assign the 11 employees and use GAMS to find the optimal assignment Table 3. Employee data for projects. Projects | | Maximum Number of Employees Reduction of Completion Time (days employee)

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