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Question 3: You are a planner for a construction project, assigning additional crews made available to the project. The additional workers can be used

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Question 3: You are a planner for a construction project, assigning additional crews made available to the project. The additional workers can be used for the activity of bricklaying or the activity of wall plastering and painting. You have the following facts: You have a total of 10 additional crews. Each crew costs 1,000 AED. Each additional crew assigned to bricklaying reduces total project duration by 5 days. Each additional crew assigned to plastering and painting reduces total project duration by 4 days. Each of the activities has to receive at least 1 additional crew. As plastering and paining cannot proceed faster than bricklaying, the number of additional crews for plastering and painting should not exceed the number of additional crews for bricklaying. Each 1 day reduction in total project duration earns you a 500 AED bonus. You are looking for additional crews' distribution that will result in the least total project cost. You are required to: a) Formulate the problem to be solved using Linear Programming b) Use the graphical solution to find the optimum answer.

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