A cruise line is planning its menu for the next trip. Vacationers like eating steak, lobster, and chicken. The cruise line has decided to plan for at least half of all booked passengers to have a steak dinner, for at least a quarter of all passengers to have lobster, and the rest to have chicken. Steak dinners cost the company $8, lobsters cost $15, and chicken costs the line $4. On the next cruise, there are 400 passengers booked. In addition, the cruise line has decided to plan for an additional 25% more meals than bookings. Formulate the appropriate linear program (Constraints and Objective Function only).