Two straight lines are drawn on a coordinate plane
MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Programming · Linear Programming
Problem
Two straight lines are drawn on a coordinate plane.
• Line L1 is dashed and cuts the axes at (6,0) and (0,3). The half–plane above L1 is shaded.
• Line L2 is solid and cuts the axes at (2,0) and (0,4). The half–plane below L2 is shaded.
The region is further restricted to the first quadrant.
Answer the following questions.
(i) Write the equation of each boundary line in intercept form.
(ii) For each line, write the corresponding linear inequality that describes the shaded half–plane, taking account of whether the boundary is dashed or solid.
(iii) Combine your results to obtain the complete system of inequalities that defines the feasible region common to all the given conditions.