Example 1: Linear Programming Applications A refinery must produce at least 100 gallons of gasoline and at least 160 gallons of diesel to meet customer demands. The refinery would like to minimize the cost of crude. Two crude options exist. The less expensive crude costs $80 per barrel while a more expensive crude costs $95 per barrel. Each barrel of the less expensive crude produces 10 gallons of gasoline and 20 gallons of diesel. Each barrel of the more expensive crude produces 15 gallons of both gasoline and diesel. 1. Formulate a linear programming model to find the number of barrels of each crude that will minimize the refinery cost while satisfying the customer demands.
Example 1: Linear Programming Applications A refinery must produce at least 100 gallons of gasoline and at least 160 gallons of diesel to meet customer demands. The refinery would like to minimize the cost of crude. Two crude options exist. The less expensive crude costs $80 per barrel while a more expensive crude costs $95 per barrel. Each barrel of the less expensive crude produces 10 gallons of gasoline and 20 gallons of diesel. Each barrel of the more expensive crude produces 15 gallons of both gasoline and diesel. 1. Formulate a linear programming model to find the number of barrels of each crude that will minimize the refinery cost while satisfying the customer demands.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Example 1: Linear Programming Applications
A refinery must produce at least 100 gallons of gasoline and at
least 160 gallons of diesel to meet customer demands. The
refinery would like to minimize the cost of crude. Two crude
options exist. The less expensive crude costs $80 per barrel
while a more expensive crude costs $95 per barrel. Each barrel
of the less expensive crude produces 10 gallons of gasoline and
20 gallons of diesel. Each barrel of the more expensive crude
produces 15 gallons of both gasoline and diesel.
1. Formulate a linear programming model to find the number
of barrels of each crude that will minimize the refinery cost
while satisfying the customer demands.
2. Use the Graphical Method to find the optimal solution.
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