Example $5\mathrm{.}2($County transportation choices$)$ Suppose that the goals and specific projects shown in Table $5\mathrm{.}2$ are being considered by the County Transportation Authority.

There are three independent goals and a total of $10$ projects. Table $5\mathrm{.}2$ shows the cost and the net present value $($after the cost has been deducted$)$ for each of the projects. The total available budget is $$5$ million. To formulate this problem we introduce a zero$-$one variable for each project. $($However$,$ for simplicity we index these variables

$5\mathrm{.}1$ CAPITAI

TABLE $5\mathrm{.}2$

Transportation Alternatives

$\backslash$table$[[,\backslash$table$[[$Cost$],[($$$1,000)$