A cruise ship is planning its menu for the next trip. Vacationers like eating steak, lobster, and chicken.  The chef of the cruise ship 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 cruise 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 told the chef to plan for an additional 25% more meals than bookings.  Help the chef determine the optimum mix of meals to minimize their food costs. Determine the optimal solution and let the chef know how much it will cost to prepare this mix. (Product mix application)

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter5: Systems Of Linear Equations
Section5.2: Solve Systems Of Equations By Substitution
Problem 122E: When Gloria spent 15 minutes on the elliptical trainer and then did circuit training for 30 minutes,...
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A cruise ship is planning its menu for the next trip. Vacationers like eating steak, lobster, and chicken.  The chef of the cruise ship 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 cruise 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 told the chef to plan for an additional 25% more meals than bookings.  Help the chef determine the optimum mix of meals to minimize their food costs. Determine the optimal solution and let the chef know how much it will cost to prepare this mix. (Product mix application)

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