An oil company produces two types of gasoline, G1 and G2, from two types of crude oil, C1 and C2. G1 is allowed to contain up to 4% impurities, and G2 is allowed to contain up to 3% impurities. G1 sells for $48 per barrel, whereas G2 sells for $72 per barrel. Up to 4200 barrels of G1 and up to 4300 barrels of G2 can be sold. The cost per barrel of each crude, their availability, and the level of impurities in each crude are listed in the file S14_85.xlsx. Before blending the crude oil into gas, any amount of each crude can be “purified” for a cost of $3.00 per barrel. Purification eliminates half of the impurities in the crude oil.
a. Determine how to maximize profit.
b. Use SolverTable to determine how an increase in the availability of C1 affects the optimal profit.
c. Use SolverTable to determine how an increase in the availability of C2 affects the optimal profit.
d. Use SolverTable to determine how a change in the profitability of G2 changes profitability and the types of gas produced.