Fowle Marketing Research, Inc. is faced with the problem of assigning three available project leaders (agents) to each of three new research studies (tasks). Fowle’s management realizes, however, that the time required to complete each study will depend on the experience and ability of the project leader assigned to the study. Since the three studies have been judged to have approximately the same priority, the company would like to determine the assignments that will minimize the total number of days required to complete all three. If a project leader is to be assigned to one and only one client, what assignments should be made (optimal solutions)? How many days are required (objective function value).With three project leaders and three clients, there are total of nine possible assignment alternatives. The alternatives and the estimated project completion times in days are summarized in Table                                  Client Project Leader                        1       2       3 1      Terry                                9      16      5 2      Carle                              10     15     6 3      McClymonds                 6       14     10 a) Estimated Project Completion Times (Days) for the Fowle Assignment Problem. b) Formulate and solve the problem, show your linear programming model (submit Excel files).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section11.4: Marketing Models
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Fowle Marketing Research, Inc. is faced with the problem of assigning three available project leaders (agents) to each of three new research studies (tasks). Fowle’s management realizes, however, that the time required to complete each study will depend on the experience and ability of the project leader assigned to the study. Since the three studies have been judged to have approximately the same priority, the company would like to determine the assignments that will minimize the total number of days required to complete all three. If a project leader is to be assigned to one and only one client, what assignments should be made (optimal solutions)? How many days are required (objective function value).With three project leaders and three clients, there are total of nine possible assignment alternatives. The alternatives and the estimated project completion times in days are summarized in Table 

                                Client

Project Leader                        1       2       3

1      Terry                                9      16      5

2      Carle                              10     15     6

3      McClymonds                 6       14     10

a) Estimated Project Completion Times (Days) for the Fowle Assignment Problem.

b) Formulate and solve the problem, show your linear programming model (submit Excel files).

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