The NW 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 concerts and art shows. Their costs per presentation are $1500 and $3000, respectively. The mall manager estimates the attendance as follows


No. Attending per Presentation
Event
Teenagers
Young/Middle Age
Seniors
Band Concert
200
100
0
Art Show
0
400
250

The Manager has set goals, the total (strict) annual budget allocated to the two events is $15,000, and set minimum goals of 1000, 1200, and 800 for the attendance of teenagers, the young/middle-aged group, and seniors, respectively. Formulate the problem as a goal programming model