Question: Problem 1

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 $1,500 and $3,000, respectively. The total (strict) annual budget allocated to the two events is $15,000. The mall manager estimates the attendance as follows:

The manager has set minimum goals of 1000, 1200, and 800 for the attendance of teenagers, young/middle-aged group, and seniors, respectively. Formulate and solve the problem as a goal programming model with integer variables assuming that all goals have equal weight. It is OK to overachieve on the attendance goals, but the manager will not accept a solution that exceeds the $15,000 budget.