Q11c

The relative costs of assigning jobs $J_{1}, J_{2}$ and $J_{3}$ to machines $M_{1}, M_{2}$ and $M_{3}$ are given below:

$$\begin{array}{|c|cccc|}\hline\textbf{JOBS} && \textbf{Machines} \\ & \textbf{$M_{1}$} & \textbf{$M_{2}$} & \textbf{$M_{3}$} \\\hline \text{$J_{1}$} & \text{25} & \text{32} & \text{35} \\ \text{$J_{2}$} & \text{15} & \text{23} & \text{21}\\ \text{$J_{3}$} & \text{19}& \text{21} & \text{17}\\\hline \end{array}$$

Using the assignment method find the assignment involving minimum cost. Is this an optimal assignment?