Problem $9-15$

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.