A) Develop and solve a linear programming model to maximize contribution to profit. (Assume Ri is the amount of ingredient i used in producing regular, and Si is the amount of ingredient i used in producing super. Use the units of barrels and dollars for all answers. )

Max:

Input 1 Capacity:

Input 2 Capacity:

Input 3 Capacity:

Max Demand for Regular:

Max Demand for Super:

Required Octane Level, Regular:

Required Octane Level, Super:

What is the optimal contribution to profit?

B) What is the maximum profit (in dollars)?

Bay Oil produces two types of fuel (regular and super) by mixing three ingredients. The major distinguishing feature of the two of at least 100. The cost per barrel, octane levels, and available amounts (In barrels) for the upcoming two-week period appea Ingredient Cost/Barrel Octane Available (barrels) 1 $16.50 100 150,000 2 $14.00 87 390,000 3 $17.50 110 340,000 Revenue/Barrel Max Demand (barrels) Regular $18.50 390,000 Super $20.00 540,000 Develop and solve a linear programming model to maximize contribution to profit. (Assume R, is the amount of ingredient/ use answers.) Max s.t. Input 1 Capacity Input 2 Capacity Input 3 Capacity KIJIJI Max Demand for Regular Max Demand for Super Required Octane Level, Regular Required Octane Level, Super R, R1 R, S,S, S. 20 What is the optimal contribution to profit? Report your values for R, Rz, Ry .S.S.S. (R, R2, R, S. 52, 5) Other Bocicmarks y ming three ingredients. The major distinguishing feature of the two products is the octane level required. Regular fuel must have a minimum octane level of 00, whereas super must have a level vailable amounts (in barres) for the upcoming two week period appear in the following table, along with the maximum demand for each and product and the revenue generated per barrel Available (barrels) 150,000 390,000 340,000 nd (barrels) 5.000 000 ze contribution to profit. (Assume R, is the amount of ingredient / used in producing regular, and is the amount of ingredient used in producing Super. Use the units of barrels and dollars for at