Business, 22.05.2020 17:00 natfloresm13

A refinery blends three petroleum components into three grades of gasoline –regular, premium, and diesel. The maximum quantities available of each component and the cost per barrel are as follows: Component Cost/Barrel Maximum Barrels Available/Day A 9 6,000 B 7 3,000 C 10 4,500 To ensure that each gasoline grade retains certain essential characteristics, the refinery has put limits on the percentages of the components in each blend. The limits, as well as the selling prices for the various grades, are as follows:
Grade Selling Price/Barrel Component Specifications
R (regular) 18 Not less than 30% of A
Not more than 30% of B
Not less than 30% of C
P (premium) 25 Not less than 60% of C
A (diesel) 15 Not more than 50% of B
less than 10% of A
The refinery wants to produce at least 5,000 barrels of each grade of gasoline. The management wishes to determine the optimal mix of the three components that will maximize profit.
a. Define the decision variables.
b. Build an objective function.
c. Build all the constraints.

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A refinery blends three petroleum components into three grades of gasoline –regular, premium, and di...

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