Question:

Choose the option that represents the original linear programming problem based on the initial simplex tableau given below, where \(S_i\) represents slack/surplus variables and \(A_i\) represents the artificial variables corresponding to the \(i^{th}\)constraint: 
the original linear programming problem based on the initial simplex tableau given below

Updated On: Oct 1, 2024
  • Minimize Z-15x+25y
    subject to 7x+6y≥ 20, 3x-2y ≤18, 8x+5y ≤ 30; x, y ≥0.
  • Maximize Z-15x+25y
    subject to 7x+6y≥ 20, 3x-2y=18, 8x+5y ≤ 30 x, y 20.
  • Minimize Z-15x+25y
    subject to 7x+6y≥ 20, 3x-2y=18, 8x+5y ≥30; x, y ≥0.
  • Maximize Z-15x+25y
    subject to 7x+6y=20, 3x-2y=18, 8x+5y≤ 30; x, y ≥0.
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The Correct Option is B

Solution and Explanation

The correct option is (B): Maximize Z-15x+25y
subject to 7x+6y≥ 20, 3x-2y=18, 8x+5y ≤ 30 x, y 20.
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