Question

How would you solve this using the dual problem: minimization with problem constraints method?

200, 100 and 100 barrels of low-, medium-, and high-grade oil per day, respectively day, respectively. The com An oil company operates two refineries in a certain city. Refinery I has an output ry IL has an output of 100, 200, and 600 barrels of low-, medium-, and high-grade oil per s and high-grade oil to fill an order. If it costs $20,000/day to operate refinery I and vely. The company wishes to produce at least 1000, 1400, and 3000 barrels of low- $30,000/d ay to operate refinery II, determine how many days each refinery should be operated to meet the requirements of the order at minimum cost to the company 1

Answer 1

y greaterthanorequalto - 2n + 10 y greaterthanorequalto - 1/2 n + 7 y greaterthanorequalto - 1/6 n + 5 The minimum cost is $ 2,200 by operating refinery 1 for 2 days and Refinery 2 for 6.