4. Han wants to build a dog house. He makes a list of the materials needed:
- At least 60 square feet of plywood for the surfaces
- At least 36 feet of wood planks for the frame of the dog house
- Between 1 and 2 quarts of paint
Han's budget is $\$ 65$. Plywood costs $\$ 0.70$ per square foot, planks of wood cost $\$ 0.10$ per foot, and paint costs $\$ 8$ per quart.

Write inequalities to represent the material constraints and cost contraints in this situation. Be sure to specify what your variables represent.

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 \(\boxed{0.70P + 0.10W + 8Q \leq 65}\).