CBSE 2025 · Region 2 · Set 2 · Q28 · 3 marks
The feasible region along with corner points for a linear programming problem are shown in the graph. Write all the constraints for the given linear programing problem.
The feasible region along with corner points for a linear programming problem are shown in the graph. Write all the constraints for the given linear programing problem.Marking-scheme solution
The equation of the line AB is
\[\begin{aligned}
& y-30=\frac{25-30}{15-0}(x-0) \\
& \Rightarrow x+3 y=90
\end{aligned}
\]
The equation of the line BC is
\[y-10=\frac{10-25}{30-15}(x-30)
\]
\[\Rightarrow x+y=40
\]
The equation of the line CD is
\[y-10=\frac{70-10}{0-30}(x-30)
\]
\[\Rightarrow 2 x+y=70
\]
Linear ProgrammingLinear Programming Problem and its Mathematical FormulationUnderstandshort_answermedium
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