1. Gauss-Jordan Elimination: Two application problems Business Leases (Textbook Exercise #75, page 207) A chemical manufacturer wants to lease a fleet of 24 railroad tank cars with a combined carrying capacity of 520,000 gallons. Tank cars with three different carrying capacities are available: 8,000 gallons, 16,000 gallons, and 24,000 gallons. How many of each type of tank car should be leased? * Set up the system of equations and solve it using Gauss-Jordan Elimination!
2. Sociology (Textbook Exercise #95, page 209) Two sociologists have grant money to study school bussing in a particular city. They wish to conduct an opinion survey using 600 telephone contacts and 400 house contacts. Survey company A has personnel to do 30 telephone contacts and 10 house contacts per hour. Survey company B can handle 20 telephone contacts and 20 house contacts per hour. How many hours should be scheduled for each survey company to produce exactly the number of contacts needed? * Set up the system of equations and solve it using Gauss-Jordan Elimination!