Students are expected to have read and understood both the S…

Students are expected to have read and understood both the Syllabus, Syllabus Addendum, Software requirements, D2L contents, Course calendar, and Grading breakdown for this course. By answering this question you are signifying that you have completed the above tasks.

5. A consulting project requires the completion of eight act…

5. A consulting project requires the completion of eight activities. The means and variances of the activity times for those activities (in weeks) are shown in the table below. Activity A B C D E F G H Mean 10 6 8 11 9 9 11 10 Variance 5 2 3 5 4 3 6 5 Consider the three paths of the network: (1) F-C-B, (2) A-H-E and (3) D-G. Compute the probability of the project taking less than 27 weeks for each path, as well as the overall probability of the project taking less than 27 weeks when all paths are considered.

A company wants to develop a location-distribution plan. The…

A company wants to develop a location-distribution plan. They are considering up to three plant locations (Plant 1, Plant 2, Plant 3) and up to three distribution center locations (DC1, DC2, DC3). The selected plants will ship to the selected DCs and the selected DCs will subsequently ship units to meet demand at four existing warehouses (W1, W2, W3, W4). The table below provides relevant cost information, plant capacities, DC capacities, and warehouse demands.     Per unit shipping costs   Plant     Per unit shipping costs DC   Plants to DCs Plant Fixed     DCs to Warehouses Fixed   DC 1 DC 2 DC 3 Capacity Costs     W1 W2 W3 W4 Costs Plant 1 $3.99 $2.56 $2.91 4700 $1000   DC 1 $2.13 $2.94 $1.86 $2.35 $200 Plant 2 $3.72 $3.81 $3.80 4100 $1000   DC 2 $2.19 $2.34 $2.49 $1.51 $200 Plant 3 $3.57 $3.08 $4.13 4200 $1000   DC 3 $2.18 $3.00 $2.99 $1.97 $200                           DC capacity 4500 4500 4500   Warehouse demand 2300 1500 2400 1800     Fixed costs for plants and DCs are only realized if they are opened/selected. Prepare an integer linear programming model that, when solved, will determine the plants and DCs to be opened and a shipment plan that will meet the demand at the warehouses yet not exceed the capacity limits of the plants and DCs. The goal is to minimize the total fixed costs of plants and DCs plus the total variable (per unit) costs of shipment.