Mathematics - Linear Programming Question with Solution | TestHub

Constraints will be $${\mathrm{x}}_{11}+{\mathrm{x}}_{21}+\dots .+{\mathrm{x}}_{\mathrm{ml}}={\mathrm{b}}_1$$ ${\mathrm{x}}_{12}+{\mathrm{x}}_{22}+\dots \dots {\mathrm{x}}_{\mathrm{m}2}={\mathrm{b}}_2$ ${\mathrm{x}}_{\ln }+{\mathrm{x}}_{2\mathrm{n}}+\dots .+{\mathrm{x}}_{\mathrm{mn}}={\mathrm{b}}_{\mathrm{n}}$ ${\mathrm{x}}_{11}+{\mathrm{x}}_{12}+\dots +{\mathrm{x}}_{1\mathrm{n}}={\mathrm{b}}_1$ ${\mathrm{x}}_{21}+{\mathrm{x}}_{22}+\dots +{\mathrm{x}}_{2\mathrm{n}}={\mathrm{b}}_2$ ${\mathrm{x}}_{\mathrm{ml}}+{\mathrm{x}}_{\mathrm{m}2}+\dots +{\mathrm{x}}_{\mathrm{mn}}={\mathrm{b}}_{\mathrm{n}}$ So, total number of constraints $=\mathrm{m}+\mathrm{n}$