) Solve the dual of the following linear programming problem using the simplex method.
πππ₯ππππ§π π = 20π₯ + 30π¦ + 45π§
π π’πππππ‘ π‘π
20π₯ + 40π¦ + 30π§ β€ 800
30π₯ + 20π¦ + 40π§ β€ 800
20π₯ + 10π¦ + 30π§ β€ 1000
π₯ β₯ 0, π¦ β₯ 0, π§ β₯ 0
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