Question

1. 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 forty percent of all booked passengers to have a steak dinner, for at least twenty percent of all passengers to have lobster, and the rest to have chicken. Steak dinners cost the company $10, lobsters cost $13, and chicken costs the line $7. 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.

Let x1 = steak meals, x2 = lobster meals, x3 = chicken meals

           Min. Z = 10x1 + 13x2 + 7x3

S.t.

x1 ≥ 160

x2 ≥ 80

-x1 -x2 +x3 ≥ 0

x1 + x2 + x3 ≥ 500

for all xi ≥ 0

Upload your spreadsheet with the answer on sheet1

How many steak lobster and chicken should they order?

What was the total cost for the meals?

Answer 1

So,

Steak = 160

Lobster = 80

& Chicken = 260

Total Cost = $4460

End of the Solution...