2 Consider the following linear programming problem.
Maximise
$$\mathrm { P } = 6 x + 7 y$$
subject to
$$\begin{aligned}
& 2 x + 3 y \leqslant 9
& 3 x + 2 y \leqslant 12
& x \geqslant 0
& y \geqslant 0
\end{aligned}$$
- Use a graphical approach to solve the problem.
- Give the optimal values of \(x , y\) and P when \(x\) and \(y\) are integers.