A project manager is in charge of 3 ongoing projects a b, Ask an Expert

Management Studies

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.

The table 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 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 projects is 6 days.

Please formulate an LP model that helps the project manager assign the employees. Please use GAMS to find the optimal solution and optimal value.

Projects	A	B	C
Maximum Number of Employees	5	6	3
Reduction Of Completion Time(days/employee)	3	9	3

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Operation Management, Management Studies

Category:- Operation Management
Reference No.:- M92761672

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