number 17 a and b.

Problems 301 17. Scott and Associates, Inc., is an accounting firm that has three new clients. Project leaders will be assigned to the three clients. Based on the different backgrounds and experiences of the leaders, the various leader-client assignments differ in terms of projected completion times. The possible assignments and the estimated completion times in days are as follows: Client Project Leader Jackson Ellis Smith 16 2A 18. a. Develop a network representation of this problem. b. Formulate the problem as a linear program, and solve. What is the total time required? CarpetPlus sells and installs floor covering for commercial buildings. Brad Sweeney, a CarpetPlus account executive, was just awarded the contract for five jobs. Brad must now assign a Carpet Plus installation crew to each of the five jobs. Because the commission Brad will earn depends on the profit Carpet Plus makes, Brad would like to determine an assignment that will minimize total installation costs. Currently, five installation crews are available for assignment. Each crew is identified by a color code, which aids in tracking of job progress on a large white board. The following table shows the costs (in hundreds of dollars) for each crew to complete each of the five jobs: Crew Red White Blue Green Brown a. Develop a network representation of the problem. b. Formulate and solve a linear programming model to determine the minimum assignment. 19. A local television station plans to drop four Friday evening programs at the end of season. Steve Botuchis, the station manager, developed a list of six potential replacen programs. Estimates of the advertising revenue ($) that can be expected for each of new programs in the four vacated time slots are as follows. Mr. Botuchis asked you to the assignment of programs to time slots that will maximize total advertising revenu 5:00- 5:30 P.M. 5000 7500 5:30- 6:00 P.M. 3000 8000 5000 7:00 7:30 P.M. 6000 7000 8:00 8:30 P. 4000 5500 800 Home Improvement World News 6500