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

question 37

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. $$\begin{array} { r | c c c c } & &\quad\quad\quad\quad\quad\quad\quad\quad{ \text { Projects } } \\\text { Team } & \text { Budgeting } & \text { Information } & \text { Volunteers } & \text { Forecasting } \\\hline \text { A } & 32 & 35 & 15 & 27 \\\text { B } & 38 & 40 & 18 & 35 \\\text { C } & 41 & 42 & 25 & 38 \\\text { D } & 45 & 45 & 30 & 42\end{array}$$ ASSIGNMENT PROBLEM
************************
OBJECTIVE: MINIMIZATION
SUMMARY OF UNIT COST OR REVENUE DATA
********************************************* $$\begin{array} { c c c c c } & & { \text { TASK } } \\\text { AGENT } & 1 & 2 & 3 & 4 \\\hline1 & 32 & 35 & 15 & 27 \\2 & 38 & 40 & 18 & 35 \\3 & 41 & 42 & 25 & 38 \\4 & 45 & 45 & 30 & 42\end{array}$$ OPTIMAL ASSIGNMENTS COST/REVENUE
************************ ***************
ASSIGN AGENT 3 TO TASK 1
41
ASSIGN AGENT 4 TO TASK 2
45
ASSIGN AGENT 2 TO TASK 3
18
ASSIGN AGENT 1 TO TASK 4
27
-------------------------------------------
-----
TOTAL COST/REVENUE
131

---

Definitions:

Nonmonotonic

A description of relationships where the direction of change is not consistent across the range of variables.

Curvilinear Relationship

A relationship between two variables in which the change in one variable does not result in a linear change in the other variable.

Operationally Defining

The process of defining a concept or variable in terms of the specific procedures or measures used to produce or manipulate it.

Curvilinear Relationship

A type of relationship between two variables where the change in one variable does not result in a linear change in another, often depicted as a curved graph.