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Draw the graph of inequalities x ≤ 6, y −2 ≤ 0, x ≥ 0, y ≥ 0 and indicate the feasible region

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प्रश्न

Draw the graph of inequalities x ≤ 6, y −2 ≤ 0, x ≥ 0, y ≥ 0 and indicate the feasible region

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उत्तर

Given inequalities x ≤ 6 y – 2 ≤ 0
Corresponding equalities x = 6 y = 2
Intersection of line with X-axis A(6, 0) Parallel to X-axis
Intersection of line with Y-axis Parallel to Y-axis Parallel to Y-axis
Origin test

0 ≤ 6

which is true

2 ≤ 0

which is true

Region Origin side of the line Origin side of the line

x ≥ 0, y ≥ 0 represent 1st quadrant.

The shaded portion represents the feasible solution.

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अध्याय 1.7: Linear Programming Problems - Short Answers I

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Figure
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