[See Solution] Venezuela Oil produces four products from crude as follows: Crude Type Cost/barrel Availability Density Sulfur 42 gallons lb/gallon oz/barrel
Question: Venezuela Oil produces four products from crude as follows:
| Crude Type | Cost/barrel | Availability | Density | Sulfur |
| 42 gallons | lb/gallon | oz/barrel | ||
| A | 64 | 12000 | 6.1 | 0.05 |
| B | 44 | 18000 | 6.9 | 0.03 |
| C | 52 | 15000 | 7.1 | 0.04 |
The percentage yields possible from each crude are:
| Crude Type | Gasoline | Diesel | Fuel Oil | Kerosene | Residual |
| A | 35 | 15 | 25 | 15 | 10 |
| B | 50 | 15 | 10 | 20 | 5 |
| C | 20 | 25 | 30 | 15 | 10 |
| Sell Price | $1.82 | $1.76 | $1.90 | $1.66 | $1.56 |
| Sulfur Restriction oz/gallon | 0.0009 | 0.001 | 0.0008 | 0.0009 | 0.0008 |
Each gallon of refined product has the same proportion of sulfur as its crude did. Refining costs $4 per barrel and the total capacity of the refinery is 150000 gallons. Find the optimum mix of the three crude sources to maximize the return. There are no marketing constraints on the final products
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