Consider the following system of inequalities: aligned 2x+y & 12
MATHEMATICS · Subjective · CBSE · Mathematics · Linear Programming · Linear Programming
Problem
Consider the following system of inequalities:
2x+yx+3yx≤12,≥6,≥0.
Note that no explicit restriction on y is given.
(i) Draw carefully the boundary lines for each inequality on the same set of axes and indicate for every line whether it should be drawn solid or dashed.
(ii) Shade the common region that satisfies all the inequalities.
(iii) Determine the exact coordinates of all corner points (vertices) of the shaded region.
(iv) State, with justification, whether the origin (0,0) lies inside the feasible region, on its boundary, or outside it.