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Linear Optimization Problem

- Find the objective function and the constraints

-Given Information

- Refinery A requires exactly 25000 Bushels of corn

- Refinery B requires exactly 15,000 Bushels of corn

- Plot of Land in Farm A is 75 Acres

- Plot of Land in Farm B is 120 Acres

- Plot of Land in Farm C is 90 Acres

- The cost of Transport from Farm A to refinery A is 0.05 per Bushel and the cost of transport from Farm A to refinery B is 0.02 per Bushel

- The cost of Transport from Farm B to refinery A is 0.07 per Bushel and the cost of transport from Farm B to refinery B is 0.06per Bushel

- The cost of Transport from Farm C to refinery A is 0.04 per Bushel and the cost of transport from Farm C to refinery B is 0.12 per Bushel

- For any Plot of land you cultivate, you plan to apply 200 pounds of nitrogen per acre, 100 pounds of phosphorus per acre, and 150 pounds of potassium per acre

Given the above info, we want to minimize the total cost subject to the constraints.