A tailor makes \(x\) dresses and \(y\) shirts weekly. He makes at least 4 dresses, no more than 7 shirts, fewer than 14 garments altogether, and more shirts than \(2/3\) of the number of dresses. One inequality is \(x\ge4\).

(a) Write down the other three inequalities. [3]

(b) Draw all four boundary lines, shade the unwanted regions, and label the remaining region \(R\). [6]

(c) Find the smallest number of dresses and shirts he can make. [1]

(d) Profit is \$10 per dress and \$6 per shirt. Find his largest possible weekly profit. [2]