$5\mathrm{.}14$ The utility function for selecting a freight mode for shipping computers is $U=-(0\mathrm{.}03C+0\mathrm{.}15T)$

Where $C$ is cost $($$$/$computer unit$)$ and $T$ is total door$-$to$-$door travel time $($hours$).$ The weekly volume of goods transported between the plant and a major distribution center is $25,000$ units. There are three possible modes available to the shipper: truck, rail, and air.

The cost and travel time for shipping by each mode is as follows:

$\backslash$table$[[$Truck$,$$$10/$unit$,8$ hours$],[$Rail$,$$$6/$unit$,17$ hours$],[$Air$,$$$18/$unit$,5$ hours$]]$

How many computer units will be shipped by each mode based on the following assumptions?