Oil Market Equilibrium
1. **Problem Statement:**
We analyze a single firm's equilibrium price and quantity in a perfectly competitive oil market using producer theory.
2. **Key Concepts and Formulas:**
- In perfect competition, firms maximize profit where marginal cost (MC) equals market price (P).
- Equilibrium price is where market supply equals market demand.
- Firm's supply curve is its MC curve above AVC.
3. **Step 1: Find Firm's Equilibrium Price and Quantity**
- From the left graph, the MC curve intersects the ATC curve at minimum ATC near 18 million barrels/day.
- The firm's equilibrium price equals the MC at this quantity, approximately $30$ (estimated from graph scale).
- Quantity produced by the firm is about $18$ million barrels/day.
4. **Step 2: Find Market Equilibrium Price and Quantity**
- From the right graph, the supply curve (S1) and demand curve (D) intersect near price $30$ and quantity about $100$ million barrels/day.
- This price matches the firm's equilibrium price, confirming market equilibrium.
5. **Interpretation:**
- The firm produces where $MC = P = 30$.
- Market clears at $P = 30$ and quantity $Q = 100$ million barrels/day.
**Final answer:**
Firm equilibrium price $P^* = 30$
Firm equilibrium quantity $q^* = 18$ million barrels/day
Market equilibrium quantity $Q^* = 100$ million barrels/day