Linear Programming   A refinery produces both gasoline and diesel, and sells gasoline for Php54.00 per Liter and diesel for Php46.00 per Liter. The refinery can produce at most 30,000 Liters a day, but must produce at least two liters diesel for every liter of gasoline. At least 12,000 Liters of gasoline must be produce each day to meet current demands. How much of each type of fuel should be produced to maximize daily profits? Solution: Decision Variables: Let           x = no. of liters of gasoline to be produced daily And         y = no. of diesel of diesel to be produced daily        2. Objective Function:       3. Constraints: (Fraction of a Liter is allowed)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Linear Programming

 

  1. A refinery produces both gasoline and diesel, and sells gasoline for Php54.00 per Liter and diesel for Php46.00 per Liter. The refinery can produce at most 30,000 Liters a day, but must produce at least two liters diesel for every liter of gasoline. At least 12,000 Liters of gasoline must be produce each day to meet current demands. How much of each type of fuel should be produced to maximize daily profits?

Solution:

  1. Decision Variables:

Let           x = no. of liters of gasoline to be produced daily

And         y = no. of diesel of diesel to be produced daily

 

     2. Objective Function:

 

    3. Constraints: (Fraction of a Liter is allowed)

 

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