W eeMow Lawn Service provides lawn service, includ- ing mowing lawns and lawn care, landscaping, and...

 

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W eeMow Lawn Service provides lawn service, includ- ing mowing lawns and lawn care, landscaping, and lawn maintenance, to residential and commercial customers in the Draper town community. In the summer WeeMow has three teams that it schedules daily for jobs. Team 1 has five members, team 2 has four members, and team 3 has three members. On a normal summer day WeeMow will have approximately 14 jobs. Each team works 10 hours a day, but because of the heat plus work breaks, each team actually works only 45 minutes out of every hour. The following table shows the times (in minutes) and costs (in dollars) required for each team to complete the 14 jobs for a specific day. Team 1 Team 2 Team 3 Job Time (min.) Cost ($) Time (min.) Cost ($) Time (min.) Cost ($) A 45 48 65 55 78 50 67 70 72 60 85 55 90 94 105 84 125 75 61 65 78 65 97 60 E 75 80 93 75 107 66 F 48 55 70 65 95 60 65 70 83 70 110 67 H. 67 72 84 74 100 65 I 95 100 110 90 130 80 J 60 65 78 65 95 62 K 47 55 64 57 84 56 114 118 135 110 155 95 M 85 90 107 98 125 75 N 63 67 81 72 102 68 The WeeMow manager wants to develop a schedule of many minutes each crew will work during the day. Next, team assignments to the jobs for this day. Formulate and solve a linear programming model to determine the assign- ments of teams to jobs that will minimize total job time for the day, given a daily budget of $1,000. Indicate how reformulate and solve this model if cost minimization is the objective. Of these two models, which one do you think the manger should select and why? W eeMow Lawn Service provides lawn service, includ- ing mowing lawns and lawn care, landscaping, and lawn maintenance, to residential and commercial customers in the Draper town community. In the summer WeeMow has three teams that it schedules daily for jobs. Team 1 has five members, team 2 has four members, and team 3 has three members. On a normal summer day WeeMow will have approximately 14 jobs. Each team works 10 hours a day, but because of the heat plus work breaks, each team actually works only 45 minutes out of every hour. The following table shows the times (in minutes) and costs (in dollars) required for each team to complete the 14 jobs for a specific day. Team 1 Team 2 Team 3 Job Time (min.) Cost ($) Time (min.) Cost ($) Time (min.) Cost ($) A 45 48 65 55 78 50 67 70 72 60 85 55 90 94 105 84 125 75 61 65 78 65 97 60 E 75 80 93 75 107 66 F 48 55 70 65 95 60 65 70 83 70 110 67 H. 67 72 84 74 100 65 I 95 100 110 90 130 80 J 60 65 78 65 95 62 K 47 55 64 57 84 56 114 118 135 110 155 95 M 85 90 107 98 125 75 N 63 67 81 72 102 68 The WeeMow manager wants to develop a schedule of many minutes each crew will work during the day. Next, team assignments to the jobs for this day. Formulate and solve a linear programming model to determine the assign- ments of teams to jobs that will minimize total job time for the day, given a daily budget of $1,000. Indicate how reformulate and solve this model if cost minimization is the objective. Of these two models, which one do you think the manger should select and why?

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Assignmenmts of Team For Jobs to minimise Time by Hungarian Algoritham Job Team Assignment Time in ... View the full answer