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Based on the given shaded region as the feasible region in the graph, at which point(s) is the objective function Z = 3x + 9y maximum? -

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Question

Based on the given shaded region as the feasible region in the graph, at which point(s) is the objective function Z = 3x + 9y maximum?

Options

  • Point B

  • Point C

  • Point D

  • Every point on the line segment CD

MCQ

Solution

Every point on the line segment CD

Explanation:

Z is maximum 180 at points C (15, 15) and D (0, 20).

⇒ Z is maximum at every point on the line segment CD

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