The NW shopping mall conducts special events to attract potential patrons. Among the events

that seem attract teenagers, the young$/$middle$-$aged group, and senior citizens, the two most popular band are band concerts and art shows. Their costs per presentation are $$1500$ and $$3000,$ respectively. The total $($strict$)$ annual budget allocated to the two events is $$20000.$ The mall manager estimates the attendance as follows:

Table $1$: Attendance estimations

Number attending per presentation Event Teenagers Young$/$middle$-$age Seniors

Band concert $200$

$1000$

Art show

$0$

$400$

$250$

The manager has set minimum goals of $1000,400$ and $900$ for the attendance of teenagers, the young$/$middle$-$aged group, and seniors, respectively. Formulate the problem as a goal