Perfect Competition
1. **Problem Statement:**
Given the marginal cost (MC), average total cost (ATC), and marginal revenue (MR) curves for a perfectly competitive firm, analyze the firm's economic profit, market exit behavior, and price changes over time.
2. **Key Concepts:**
- In perfect competition, the demand curve (D) equals the marginal revenue (MR) curve.
- Economic profit is calculated as $\text{Profit} = (P - ATC) \times Q$, where $P$ is price, $ATC$ is average total cost, and $Q$ is quantity.
- Firms earn zero economic profit in the long run due to free entry and exit.
3. **Step 1: Determine Economic Profit**
- The price $P$ is given by the horizontal $D=MR$ line.
- At the profit-maximizing quantity, $MC = MR$.
- Compare $P$ to $ATC$ at this quantity.
- Since the $ATC$ curve is above the $D=MR$ line at the quantity where $MC=MR$, $P < ATC$.
- Therefore, $P - ATC < 0$, so the firm incurs a negative economic profit.
4. **Step 2: Long Run Market Exit**
- Negative economic profit signals firms are losing money.
- In the long run, firms will exit the market to avoid losses.
5. **Step 3: Price Change Over Time**
- As firms exit, supply decreases.
- Decreased supply causes the market price to rise.
- The price will rise until it equals the minimum $ATC$, restoring zero economic profit.
**Final Answers:**
- a. The firm will earn a negative economic profit.
- b. In the long run, firms will exit the market.
- c. Over time, the price of the product will rise.