In the diagram, the line $3y + 2x = 13$ cuts the coordinate axes at $A$ and $B$.
(a)[1]
Find the coordinates of point $A$.
(b)[2]
The shaded region $R$ is described by five inequalities. Two of them are $x \leq 6$ and $y \leq 6$. Write down the other three inequalities.
(c)[1]
Point $P$ lies inside the shaded region $R$. Since $AP$ is as large as it can be, write down the coordinates of $P$.
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This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$\left(0,\tfrac{13}{3}\right)$” …
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