An economy has three markets with supply and demand functions for the three goods given by ˢ₁ = -20 + p₁ - 0.5p₂ ˢ₂ = -100 + 2p₂ ˢ₃ = p₃ ᵈ₁ = 80 - 2p₁ - p₃ ᵈ₂ = 200 - p₂ ᵈ₃ = 100 - 2p₃ - p₁ Solve for the equilibrium price and quantities of all three goods.