In labor economics, shifts in the demand and supply curves for labor function similarly to those in product markets. A key factor influencing the demand for labor is the change in the output price of goods produced. The output price refers to the selling price of a product, which directly impacts the marginal revenue product (MRP) of labor. The MRP is calculated as the product of the output price and the marginal product of labor (MPL), expressed mathematically as:
MRP = P \times MPL
When the output price increases, the MRP rises, leading to a rightward shift in the labor demand curve. Conversely, a decrease in the output price results in a lower MRP, shifting the labor demand curve to the left. For instance, if a pizza shop sells pizzas for $5 and hires four workers based on the MRP exceeding the wage of $80, a drop in the price to $2 alters the MRP calculations significantly.
With the price at $2, the MRP for each worker is recalculated as follows:
- 1st worker: MRP = $2 × 30 = $60
- 2nd worker: MRP = $2 × 50 = $100
- 3rd worker: MRP = $2 × 70 = $140
- 4th worker: MRP = $2 × 30 = $60
- 5th worker: MRP = $2 × 10 = $20
As the MRP decreases with the lower output price, the profit-maximizing quantity of labor also changes. The wage remains constant at $80, so the marginal profit for each worker is calculated by subtracting the wage from the MRP:
Marginal Profit = MRP - Wage
Calculating the marginal profit yields:
- 1st worker: $60 - $80 = -$20 (not hired)
- 2nd worker: $100 - $80 = $20 (hired)
- 3rd worker: $140 - $80 = $60 (hired)
- 4th worker: $60 - $80 = -$20 (not hired)
- 5th worker: $20 - $80 = -$60 (not hired)
From this analysis, it becomes evident that the pizza shop maximizes profit by hiring only three workers when the output price is reduced to $2. The decrease in output price leads to a lower MRP, which ultimately results in a reduced demand for labor. This illustrates the critical relationship between output price and labor demand in economic theory.