The Availability of Seats for Ballgames at Oliver Field Is

Essay

The availability of seats for ballgames at Oliver Field is $\begin{array} { l r r r } \text { Bleachers } & 4000 \text { seats } & A _ { 1 } & \\\text { General Admission } & 10,000 \text { seats } & A _ { 2 } \\\text { Grandstand } & 10,000 \text { seats } & A _ { 3 } \\\text { Luxury Boxes } & 1000 \text { seats } &A _ { 4 } &\end{array}$
A1 through A₄ represent the attendance in the different seating options at prices X₁, X₂, X₃, and X₄. Better seats must cost at least $1 more than the next lower category. If the team charges $1 per seat, the demand will be 25,000. For each $1 increase in ticket price, the demand drops by 1000. The team owner has set up an integer programming model to maximize revenue (not necessarily to sell out).
What prices should be charged? Is this a linear programming model?