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") An electrical contractor pays his subcontractors a fixed fee plus mileage for work performed. On a given day the contractor is faced with three electrical jobs associated with various projects. Each subcontractor will have enough time to work on up to two projects during the day. Each project should be completed by exactly two subcontractors. Given below are the distances between the subcontractors and the projects Projects Subcontractor |A B C Westside 2 3 4 Federated 6 Goliath 5 6 Universal 11 2 a. Draw a network to represent the possible subcontractor-project assignments. b. Develop a linear model which would be used to minimize total mileage costs. 2) Acme Co. is planning an advertising campaign for their new product. Three commercials have been produced and are ready to air. The costs of airing one commercial during different timeslots of the day are listed in the following table. Acme Co. wants each of the three commercials to air on two different timeslots. In addition, the company does not want all three commercials to air during the same timeslot. Develop a linear programming model to minimize the marketing cost while meeting the requirements above. Timeslots Commercials | Daytime Evening | Late Night Ad- 1 200 650 600 Ad-2 500 420 350 Ad-3 400 700 450 3) Find the critical path and the project completion time for the following list of activities. Calculate the probabilities of completing the following project in a. 13 days or more b. 11 days or less c. between 12 and 14 days Immediate Activity Optimistic Most Probable | Pessimistic Predecessor Duration Duration Duration A 1 3 5 B 2 4 6 C A , B 2 4 5 D A, B 3 5 7 E C, D 1 2 10 4) Draw the PERT and Gantt (calendar) charts for the following list of activities and expected durations. Identify the critical path and list the slack times (if any) for the activities. Immediate Activity Duration Predecessor A 3 B 3 C 4 D A, B 5 E B, C 4 F D, E 2 G E w H F, G 5