The following represents a project with known activity times. All times are in weeks.ActivityImmediatePredecessorTimeA–4B–3CA2DB7EC, D4FB5GE, F4Determine the critical path, completion time, and slack for this project.2. Consider the project with the following estimates for activity times and precedence relationships:ActivityOptimisticTimeMostLikely TimePessimisticTimeImmediatePredecessor(s)A345—B579—C2310AD258BE177BF357C, DG789D, EH2610F(a) What is the expected duration of the project?(b) What is the project variance?(c) If the deadline of the project is 25 days, what is the probability of finishing the project on time?3)A furniture company is producing two types of furniture. Product A requires 8 board feet of wood and 2 lbs. of wicker. Product B requires 6 board feet of wood and 6 lbs. of wicker. There are 2000 board feet of wood available for product and 1000 lbs. of wicker. Product A earns a profit margin of $30 a unit and Product B earns a profit margin of $40 a unit. Formulate the problem as a linear program and solve it.The following represents a project with known activity times. All times are in weeks.ActivityImmediatePredecessorTimeA–4B–3CA2DB7EC, D4FB5GE, F4Determine the critical path, completion time, and slack for this project.2. Consider the project with the following estimates for activity times and precedence relationships:ActivityOptimisticTimeMostLikely TimePessimisticTimeImmediatePredecessor(s)A345—B579—C2310AD258BE177BF357C, DG789D, EH2610F(a) What is the expected duration of the project?(b) What is the project variance?(c) If the deadline of the project is 25 days, what is the probability of finishing the project on time?3)A furniture company is producing two types of furniture. Product A requires 8 board feet of wood and 2 lbs. of wicker. Product B requires 6 board feet of wood and 6 lbs. of wicker. There are 2000 board feet of wood available for product and 1000 lbs. of wicker. Product A earns a profit margin of $30 a unit and Product B earns a profit margin of $40 a unit. Formulate the problem as a linear program and solve it.

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