Europa-Danish Cruise line is planning its menu for an upcoming trip. Vacationers like eating beef, crab, and quail. The cruise line has decided to plan for at least half of all booked passengers to have a beef dinner, for at least a quarter of all passengers to have crab, and the rest to have quail. Beef dinners cost the company $11, crab dinners cost $17, and quail dinners cost the line $9. On the next cruise, there are 700 passengers booked. In addition, the cruise line has decided to plan for an additional 25% more total meals than bookings. Write the linear program to determine how many of each type of dinner E-D should have available.