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Business, 02.03.2020 21:13 perlalimas7372

Riverside Oil Company in eastern Kentucky produces regular and supreme gasoline. Each barrel of regular sells for $21 and must have an octane rating of at least 90. Each barrel of supreme sells for $25 and must have an octane rating of at least 97. Each of these types of gasoline are manufactured by mixing different quantities of the following three inputs:

Input Cost per Barrel Octane Rating Barrels Available in (1000s)
1 $17.25 100 150
2 $15.75 87 350
3 $17.75 110 300
Riverside has orders for 300,000 barrels of regular and 450,000 barrels of supreme. How should the company allocate the available inputs to the production of regular and supreme gasoline to maximize profits?

(a) Formulate and LP model for this problem.
(b) What is the optimal solution?

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