Step 1 :Define the following variables: P for the number of square feet of plywood Han buys, W for the number of feet of wood planks Han buys, and Q for the number of quarts of paint Han buys.
Step 2 :Write the material constraints as inequalities: \(P \geq 60\), \(W \geq 36\), and \(1 \leq Q \leq 2\).
Step 3 :Write the cost constraint as an inequality: \(0.70P + 0.10W + 8Q \leq 65\).
Step 4 :The inequalities representing the material constraints are \(\boxed{P \geq 60}\), \(\boxed{W \geq 36}\), and \(\boxed{1 \leq Q \leq 2}\).
Step 5 :The inequality representing the cost constraint is \(\boxed{0.70P + 0.10W + 8Q \leq 65}\).