Assume the maximum demand for Super is 600,000 barrels.What is the optimal maximum profit? Hints: There are six decision variables are as follows: R1: # of barrels of ingredient 1 used in Regular fuelR2: # of barrels of ingredient 2 used in Regular fuelR3: # of barrels of ingredient 3 used in Regular fuelS1: # of barrels of ingredient 1 used in Super fuelS2: # of barrels of ingredient 2 used in Super fuelS3: # of barrels of ingredient 3 used in Super fuel Some calculations you would need in the constraints:The total # of barrels for Regular would be R1+R2+R3.The total # of barrels for Super would be S1+S2+S3.The total # of barrels of Ingredient 1 would be R1+S1.The total # of barrels of Ingredient 2 would be R2+S2.The total # of barrels of Ingredient 3 would be R3+S3. 15. Fuel Production. Bay Oil produces two types of fuel (regular and super) by mixingthree ingredients. The major distinguishing feature of the two products is the octanelevel required. Regular fuel must have a minimum octane level of 90, whereas supermust have a level of at least 100. The cost per barrel, octane levels, and availableamounts (in barrels) for the upcoming two-week period appear in the followingtable, along with the maximum demand for each end product and the revenuegenerated per barrel:Ingredient123RegularSuperCost/Barrel$16.50$14.00$17.50Revenue/Barrel$18.50Octane$20.0010087110Available(barrels)110,000350,000300,000Max Demand(barrels)350,000500,000Develop and solve a linear programming model to maximize contribution to profit.What is the optimal contribution to profit?

Given data is Fuel type Revenue Max Demand Regular $18.50 350,000 Super $20 600,000…

Assume the maximum demand for Super is 600,000 barrels. What is the optimal maximum profit? Hints: There are six decision variables are as follows: R1: # of barrels of ingredient 1 used in Regular fuel R2: # of barrels of ingredient 2 used in Regular fuel R3: # of barrels of ingredient 3 used in Regular fuel S1: # of barrels of ingredient 1 used in Super fuel S2: # of barrels of ingredient 2 used in Super fuel S3: # of barrels of ingredient 3 used in Super fuel Some calculations you would need in the constraints: The total # of barrels for Regular would be R1+R2+R3. The total # of barrels for Super would be S1+S2+S3. The total # of barrels of Ingredient 1 would be R1+S1. The total # of barrels of Ingredient 2 would be R2+S2. The total # of barrels of Ingredient 3 would be R3+S3.

Assume the maximum demand for Super is 600,000 barrels. What is the optimal maximum profit? Hints: There are six decision variables are as follows: R1: # of barrels of ingredient 1 used in Regular fuel R2: # of barrels of ingredient 2 used in Regular fuel R3: # of barrels of ingredient 3 used in Regular fuel S1: # of barrels of ingredient 1 used in Super fuel S2: # of barrels of ingredient 2 used in Super fuel S3: # of barrels of ingredient 3 used in Super fuel Some calculations you would need in the constraints: The total # of barrels for Regular would be R1+R2+R3. The total # of barrels for Super would be S1+S2+S3. The total # of barrels of Ingredient 1 would be R1+S1. The total # of barrels of Ingredient 2 would be R2+S2. The total # of barrels of Ingredient 3 would be R3+S3.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section5.5: Shortest Path Models

Problem 34P

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