The NY Shopping Mall conducts special events to attract potential patrons. Among the events that seem to attract teenagers, the young/middle - aged group, and senior citizens, the two most popular are band concertsand art shows. Their costs per presentation are $1,500 and $3,000, respectively. The total (strict) annual budget allocated to the two events is $20,000. The mall manager estimates the attendance as follows:

Event Number attending per presentation

Teenagers Young/middle-age Senior Band concert

200 100 0

Art show

0 400 250

The manager has setminimum goals of 1500, 450, and 900for the attendance of teenagers, the young/middle-aged group, and seniors, respectively. Formulate the problem as a goal programming model.