Question: Need Help with Part B. Please show work on excel and the formulas used. An oil company produces gasoline from five inputs. The cost, density,

Need Help with Part B. Please show work on excel and the formulas used.

An oil company produces gasoline from five inputs. The cost, density, viscosity, and sulfur content, and the number of barrels available of each input are listed in the file P04_78.xlsx. Gasoline sells for $75 per barrel. Gasoline can have a density of at most 0.95 units per barrel, a viscosity of at most 35 units per barrel, and a sulfur content of at most 3.3 units per barrel. B. Describe how the optimal solution to the problem changes as the price of gasoline ranges from $65 to $85 per barrel.

Column1 Column2 Column3 Column4 Column5
Problem 4.78(a) Oil Company (p. 204)
Selling price per barrel $ 75
Input C os t Density Viscosit y Sulfur
Light gas oil $69.50 0.83 40 1.0
Heavy gas oil $66.70 0.88 26 2.2
Waxy distillate $56.40 0.92 30 2.8
Atmospheric residue $16.50 0.97 65 4.1
Vacuum residue $10.40 1.50 48 5.0
Upper limits 0.95 35 3.3
Blending plan
Input Input used Available (Ten Thousands)
Light gas oil 40000 <= 40
Heavy gas oil 50000 <= 50
Waxy distillate 70000 <= 60
Atmospheric residue 11995 <= 70
Vacuum residue 18472 <= 80
Sum Input 190467
Constraints Density Viscosity Sulfur
Actual 180943.15 6666331 487539.5
<= <= <=
Maximum 180943.65 6666345 628541.1
Revenue $ 14,285,025
Cost $ 10,453,026.30
Profit $ (3,831,998.70)

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