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A Professor Has Been Contacted by Four Not-For-Profit Agencies That

Question 51

Essay

A professor has been contacted by four not-for-profit agencies that are willing to work with student consulting teams. The agencies need help with such things as budgeting, information systems, coordinating volunteers, and forecasting. Although each of the four student teams could work with any of the agencies, the professor feels that there is a difference in the amount of time it would take each group to solve each problem. The professor's estimate of the time, in days, is given in the table below. Use the computer solution to see which team works with which project.  Projects  Team  Budgeting  Information  Volunteers  Forecasting  A 32351527 B 38401835 C 41422538 D 45453042\begin{array} { c | c c c c } & & { \text { Projects } } \\\text { Team } & \text { Budgeting } & \text { Information } & \text { Volunteers } & \text { Forecasting } \\\hline \text { A } & 32 & 35 & 15 & 27 \\\text { B } & 38 & 40 & 18 & 35 \\\text { C } & 41 & 42 & 25 & 38 \\\text { D } & 45 & 45 & 30 & 42\end{array} ASSIGNMENT PROBLEM
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OBJECTIVE: MINIMIZATION
SUMMARY OF UNIT COST OR REVENUE DATA  TASK  AGENT 1234132351527238401835341422538445453042\begin{array} { c c c c c } &\text { TASK }\\\text { AGENT } & 1 & 2 & 3 & 4 \\\cdots & \cdots & \cdots & \cdots & \cdots \\1 & 32 & 35 & 15 & 27 \\2 & 38 & 40 & 18 & 35 \\3 & 41 & 42 & 25 & 38 \\4& 45 & 45 & 30 & 42\end{array}  OPTIMAL ASSIGNMENTS  COST/REVENUE  ASSIGN AGENT 3 TO TASK 141 ASSIGN AGENT 4 TO TASK 245 ASSIGN AGENT 2 TO TASK 318 ASSIGN AGENT 1 TO TASK 427 TOTAL COST/REVENUE 131\begin{array}{cc}\text { OPTIMAL ASSIGNMENTS } & \text { COST/REVENUE }\\************&**********\\\text { ASSIGN AGENT } 3 \text { TO TASK } 1 & 41 \\\text { ASSIGN AGENT } 4 \text { TO TASK } 2 & 45 \\\text { ASSIGN AGENT } 2 \text { TO TASK } 3 & 18 \\\text { ASSIGN AGENT } 1 \text { TO TASK } 4 & 27\\\\\text { TOTAL COST/REVENUE }&131\end{array}

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Team A works with the forecast...

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