During the next four months, a construction firm mustcomplete three projects. Project 1 must be completed withinthree months and requires 8 months of labor. Project 2 mustbe completed within four months and requires 10 months oflabor. Project 3 must be completed at the end of two monthsand requires 12 months of labor. Each month, 8 workers areavailable. During a given month, no more than 6 workers canwork on a single job. Formulate a maximum-flow problemthat could be used to determine whether all three projects canbe completed on time. (Hint: If the maximum flow in thenetwork is 30, then all projects can be completed on time.)
During the next four months, a construction firm mustcomplete three projects. Project 1 must be completed withinthree months and requires 8 months of labor. Project 2 mustbe completed within four months and requires 10 months oflabor. Project 3 must be completed at the end of two monthsand requires 12 months of labor. Each month, 8 workers areavailable. During a given month, no more than 6 workers canwork on a single job. Formulate a maximum-flow problemthat could be used to determine whether all three projects canbe completed on time. (Hint: If the maximum flow in thenetwork is 30, then all projects can be completed on time.)
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Question
During the next four months, a construction firm must
complete three projects. Project 1 must be completed within
three months and requires 8 months of labor. Project 2 must
be completed within four months and requires 10 months of
labor. Project 3 must be completed at the end of two months
and requires 12 months of labor. Each month, 8 workers are
available. During a given month, no more than 6 workers can
work on a single job. Formulate a maximum-flow problem
that could be used to determine whether all three projects can
be completed on time. (Hint: If the maximum flow in the
network is 30, then all projects can be completed on time.)
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