In Problem 2, Set 8.1a, suppose that the goal of attracting young/middle-aged people is twice as important as for either of the other two categories (teens and seniors). Find the associated solution, and check if all the goals have been met.

Problem 2

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 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, the young/middle-aged group, and seniors, respectively. Formulate the problem as a goal programming model.

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Number attending per presentatio0 Event Теепagers Young/middle age Seniors Band concert 200 100 Art show 400 250