Given: P₀ = 100, P₁ = 200, Q₀ = 50, Q₁ = 10

1. Graph the function by hand.
2. Is this a supply or demand curve?
3. Explain why.
4. What is the numerical elasticity of the function?
5. Give a verbally written description of the elasticity of this function.
6. What price (P₀or P₁) would yield a greater TR?
7. If TR = 27q - q³, how many units must be sold to maximize TR? (show calculus and geometry to find q)