The corner points of the feasible region in the graphical representation of a linear programming problem are (2, 72), (15, 20), and (40, 15). If z = 18x + 9y is the objective function, then which of the following is correct?

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Mathematics · Linear Programming

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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z is maximum at (2, 72) and minimum at (15, 20)

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Answer 1

z is maximum at (40, 15) and minimum at (2, 72)

Answer 2

z is maximum at (40, 15) and minimum at (15, 20)

Answer 3

z is maximum at (15, 20) and minimum at (40, 15)

Answer 4

z is maximum at (2, 72) and minimum at (15, 20)

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