Gloria operates three self-service gasoline stations in different parts of town. On a certain day, station A sold 600 liters of premium, 800 liters of super, 1000 liters of regular gasoline, and 700 liters of diesel fuel; station B sold 700 liters of premium, 600 liters of super, 1200 liters of regular gasoline, and 400 liters of diesel fuel; station C sold 900 liters of premium, 700 liters of super, 1400 liters of regular gasoline, and 800 liters of diesel fuel. Assume that the price of gasoline was Sh3.80/liters for premium, Sh3.60/liters for super, and Sh3.40/liters for regular and that diesel fuel sold for Sh3.70/liters. Use matrix algebra to find the total revenue at each station

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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Gloria operates three self-service gasoline stations in different parts of town.
On a certain day, station A sold 600 liters of premium, 800 liters of super,
1000 liters of regular gasoline, and 700 liters of diesel fuel; station B sold 700
liters of premium, 600 liters of super, 1200 liters of regular gasoline, and 400
liters of diesel fuel; station C sold 900 liters of premium, 700 liters of super,
1400 liters of regular gasoline, and 800 liters of diesel fuel. Assume that the
price of gasoline was Sh3.80/liters for premium, Sh3.60/liters for super, and
Sh3.40/liters for regular and that diesel fuel sold for Sh3.70/liters. Use matrix
algebra to find the total revenue at each station

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