A company produces two types of seats. Expensive, moderately expensive, and more affordable. An affordable wristband requires 2 hours of skill, a mid-priced wristband takes 3 hours, and an expensive armchair requires 4 hours of skill. An affordable chair contains 3 kilos of wood, a mid-priced chair contains 2 kilos of wood and an expensive chair contains 6 kilos of wood. Also, an affordable seat contains 1 kilo of plastic, a mid-priced chair contains 2 kilos of plastic and an expensive seat contains 3 kilos of plastic. 40 kilos of wood, 20 kilos of plastic, and 60 hours of skilled labor are available each week. Each affordable seat contributes $200 to profit, each moderately priced seat contributes $300 to profit, and each expensive seat contributes $600. Write and solve an LP equation to maximize profit