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. - Revenue/Barrel Max Demand (barrels) 350000 500000 Develop and solve a linear programming model to maximize contribution to prot. Let Ri = the number of barrels of input i to use to produce Regular, i=1,2,3 5: = 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) _l_lI HI_I_I_I_ I__II_I I_IEMII_I_ I_II_I_I I___II I_II_I_I I_I_I_ 1R3I_1R1I I_I IE_ 15.. R1, R2, R3, 51,52, 53 2 0 What is the optimal contribution to profit? Maximum Prot = $ 2845000 J by making :] barrels of Regular and l:] barrels of Super