A woodworking artist makes two types of carvings: type X and type Y. He spends 3 hours making each type X carving and 2 hours making each type Y carving, and he can spend up to 36 hours each week making carvings. His materials cost him $4 for each type X carving and $5 for each type Y carving, and he must keep his weekly cost for materials to $100 or less. If x is the number of type X carvings he makes in a week and y is the number of type Y carvings he makes in a week, which of the following systems of inequalities models this situation? A.
3x + 2y ≥ 36, 4x + 5y ≥ 100

B.
3x + 2y ≤ 36, 4x + 5y ≥ 100

C.
3x + 2y ≥ 36, 4x + 5y ≤ 100

D.
3x + 2y ≤ 36, 4x + 5y ≤ 100