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Derived Demand

Demand for factors derived from demand for the product

  • Marginal Resource Cost MRC/MFC

Marginal Revenue Product Mrp

Value of Marginal Product (VMP): VMPL=MPL×PVMP_L = MP_L \times P (competitive product market)

MRPL=MPL×MRMRP_L = MP_L \times MR (imperfectly competitive product market, Marginal Revenue Product)

Factor demand curve = VMP (or MRP) curve (downward sloping due to diminishing MP)

Profit-maximizing hiring condition: VMPL=WVMP_L = W (or MRPL=MCLMRP_L = MCL)

Marginal Resource Cost Mrc/mfc

  • Definition: The additional cost incurred by a firm when hiring one additional unit of a variable resource (e.g., labor or capital).
  • Formula: MRC=ΔTotal Factor CostΔQuantity of Resource\text{MRC} = \frac{\Delta \text{Total Factor Cost}}{\Delta \text{Quantity of Resource}}.
  • Perfect Competition: The firm is a "wage taker" and labor supply is perfectly elastic (horizontal), so MRC=Wage\text{MRC} = \text{Wage}.
  • Monopsony: The firm is the sole buyer; it must increase the wage for all existing workers to attract one additional worker, so MRC>Wage\text{MRC} > \text{Wage}.
  • Profit Maximization Rule: Firms hire resources up to the point where Marginal Revenue Product (MRP)=MRC\text{Marginal Revenue Product (MRP)} = \text{MRC}.

Shifters Of Labor Demand

Labor demand is derived from the demand for the product workers help produce. Factors that increase labor demand:

  • Higher product demand
  • Higher worker productivity or better technology that complements labor
  • Higher prices for the firm's output
  • Lower wages of substitute inputs such as capital in complementary settings

Factors that decrease labor demand:

  • Lower product demand
  • Lower productivity
  • Higher wages or lower profitability of hiring labor
  • Cheaper substitute inputs that replace workers

Graphically, these factors shift the labor demand curve right or left

Shifters Of Labor Supply

Labor supply shows the relationship between wage and the quantity of labor workers are willing to provide. Factors that increase labor supply:

  • More workers entering the labor force
  • Immigration or population growth
  • Better access to training and education
  • Greater labor-force participation incentives

Factors that decrease labor supply:

  • Fewer workers available
  • Changes in preferences toward more leisure
  • Barriers to work such as licensing or relocation limits
  • Alternative opportunities that pull workers into other markets

Graphically, these factors shift the labor supply curve right or left

Profit Maximization Rule MRP=MRCMRP=MRC

Profit-maximizing hiring condition: VMPL=WVMP_L = W (or MRPL=MCLMRP_L = MCL)

Cost-minimization Rule

Profit-maximizing multi-factor equilibrium: VMPLPL=VMPKPK=VMPTPT=1\frac{VMP_L}{P_L} = \frac{VMP_K}{P_K} = \frac{VMP_T}{P_T} = 1

Minimum Wage Effects

Competitive labor market:

  • Demand: VMP curve (downward sloping)
  • Supply: Positive relationship between wage and labor supplied
  • Equilibrium: W=VMPLW^* = VMP_L

Wage Differentials (Compensating Differentials)

  • Definition: The difference in wages paid for jobs that have similar skill requirements but differ in non-monetary characteristics.
  • Core Concept: Workers require higher pay to accept "disamenities" (undesirable attributes) such as risk, physical strain, or irregular hours.
  • Mechanism:
    • Because fewer people are willing to perform undesirable tasks, the supply of labor for those jobs is lower (Supply curve shifts left).
    • This reduction in supply leads to a higher equilibrium wage compared to "pleasant" jobs that require the same level of skill and education.
  • Common Examples of Disamenities:
    • Risk: High-altitude construction vs. desk work.
    • Schedule: Night shifts vs. standard 9-to-5.
    • Environment: Toxic/dirty conditions vs. climate-controlled offices.
    • Location: Remote/undesirable areas vs. city centers.
  • Crucial Distinction: This is not the same as Human Capital Differentials (wages based on education, training, or productivity). Compensating differentials persist even when workers have identical skills and productivity levels.

Monopsony Characteristics

Monopsony:

  • Single buyer (employer) in labor market
  • Faces upward-sloping labor supply -> MLC > W
  • Condition: MRPL=MLCMRP_L = MLC
  • Result: Lower wages and employment than competitive equilibrium
  • Wage differentials (compensating differentials)

Monopsony Graphing

Monopsony:

  • Single buyer (employer) in labor market
  • Faces upward-sloping labor supply -> MLC > W
  • Condition: MRPL=MLCMRP_L = MLC
  • Result: Lower wages and employment than competitive equilibrium
  • Wage differentials (compensating differentials)

MRC>WageMRC > \text{Wage} In Monopsony

Monopsony:

  • Single buyer (employer) in labor market
  • Faces upward-sloping labor supply -> MLC > W
  • Condition: MRPL=MLCMRP_L = MLC
  • Result: Lower wages and employment than competitive equilibrium
  • Wage differentials (compensating differentials)