Pinocchio Crafts makes two types of wooden crafts: Jacob's ladders and locomotive engines. The manufacture of these crafts requires both carpentry and finishing. Each Jacob's ladder requires 1 hour of finishing and 1/2 hour of carpentry. Each locomotive engine requires 1 hour of finishing and 1 hour of carpentry. Pinocchio Crafts can obtain all the necessary raw materials, but only 120 finishing hours and 75 carpentry hours per week are available. Also, demand for Jacob's ladders is limited to at most 100 per week. If Pinocchio Crafts makes a profit of $9 on each Jacob's ladder and $15 on each locomotive engine, how many of each should it produce each week to maximize profits? What is the maximum profit?