Problem 9-15 (Algorithmic) 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 80 while super must have a level of at least 90. 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 fo each end product and the revenue generated per barrel are shown. Inp Cost/Bar Octa Available ut rel ne (barrels) 7 $15.5 90 115000 2 $13 82 330000 3 $16 100 300000 Revenue/Ba Max Demand rrel (barrels) Regular $19.5 330000 Super $21 450000 Develop and solve a linear programming model to maximize contribution to profit. Let A = the number of barrels of input i to use to produce Regular, i=1,2,3 S = the number of barrels of input i to use to produce Super, i=1,2,3 If required, round your answers to two decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) Ma R1 + R2 + R3 + S1 + 52 S3 S.1 R1 S1 R12 + + 52 R3 S3 R1 R2 + 83 S1 + 52 S3 R1 R2 + 83 + R2