4.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{9edb5209-4244-4916-b3ee-d77e395e8cab-05_997_1379_260_456}
\captionsetup{labelformat=empty}
\caption{Figure 3}
\end{figure}
Figure 3 shows the constraints of a linear programming problem in \(x\) and \(y\). The unshaded area, including its boundaries, forms the feasible region, \(R\). An objective line has been drawn and labelled on the graph.
- State the inequalities that define the feasible region.
The maximum value of the objective function is \(\frac { 160 } { 3 }\)
The minimum value of the objective function is \(\frac { 883 } { 41 }\)
- Determine the objective function, showing your working clearly.