Bay Oil produces two types of fuels (regular and super) by mixing three ingredients. The major distinguishing feature of the two products is the octane level required. Regular fuel must have a minimum octane level of 90 while super must have a level of at least 100. The cost per barrel, octane levels, and available amounts (in barrels) for the upcoming two-week period are shown in the following table. Likewise, the maximum demand for each end product and the revenue generated per barrel are shown.

Develop and solve a linear programming model to maximize contribution to profit.
What is the optimal contribution toprofit?

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Input Cost/Barrel $16.50 $14.00 $17.50 Octane 100 87 110 Available (barrels) 110,000 350,000 300,000 Max Demand (barrels) Regular Super Revenue/Barrel $18.50 $20.00 350,000 500,000