As Treasurer of the School PTA, You Chair the Committee

As treasurer of the school PTA, you chair the committee to decide how the $20,000 raised by candy sales will be spent. Four kinds of projects have been proposed, and facts on each are shown below. $$\begin{array} { l c c c } { \text { Froject } } & \begin{array} { c } \text { Number } \\\text { Requested }\end{array} & \text { Unit Cost } & \begin{array} { c } \text { Volunteers Needed } \\\text { (Person-days, each) }\end{array} \\\hline \text { Basketball goals } & 12 & \$ 400 & 2 \\\text { Encyclopedia sets } & 5 & 750 & 0 \\\text { Field trips } & 6 & 300 & 3 \\\text { Computer Stations } & 20 & 800 & .5\end{array}$$ Develop a goal programming model that would represent these goals and priorities. $\begin{array} { lll } \text {Friority 1 }\\ \text {Goal 1 }& \text {Spend the entire \( \$ 20,000 \). }\\ \text {Goal 2 }& \text {Do not use more than 50 person-days of volunteer time }\\ \text { Friority 2}\\ \text {Goal 3 }& \text { Frovide at least as many encyclopedias and computers as requested.}\\ \text {Goal 4 }& \text { Frovide at least as many field trips as requested.}\\ \text {Goal 5 }& \text {Do not provide any more basketball goals than }\\\end{array}$