Chapter 10: Labour Market Study Guide

Theory of Marginal Productivity

The Theory of Marginal Productivity explains how payments and rewards to the factors of production are determined. The factors of production include Land, Labour, Capital, and the Entrepreneur.
The demand for these factors of production is dependent upon their productivity.
A direct relationship exists: the higher the productivity of a factor, the higher the demand for that factor of production will be.
Factor of Production and Corresponding Payments/Rewards: - Labour: Wages and salaries - Land: Rent - Capital: Interest - Entrepreneur: Profit

Concepts of Marginal Productivity and Product Types

Total Physical Product (TPP): This refers to the total volume of output of goods and services produced by hiring factors of production.
Marginal Physical Product (MPP): This is the addition to the total physical product resulting from the employment of one additional unit of a factor of production, while the quantity of all other factors remains unchanged.
Marginal Value Product (MVP): This value is obtained by multiplying the MPP by the price of the goods and services produced. - Formula: $MVP = MPP \times \text{Price}$
Total Revenue Product (TRP): Refers to the total revenue received by a firm from hiring or employing factors of production.
Marginal Revenue Product (MRP): This is the addition to total revenue achieved by employing an additional unit of a factor of production while holding other factors constant. - Under a Perfect Market (where $P = AR = MR$ ), the formula is: $MRP = MPP \times \text{Price}$ - Under an Imperfect Market, the formula is: $MRP = MPP \times MR$ - The MRP curve also serves as the Demand curve of labour.
Average Revenue Product (ARP): This is the average revenue generated per unit of a factor of production. - Formula: $ARP = \frac{TRP}{\text{Total Inputs}}$

Wages: Definitions and Classifications

Wages are defined as the price for the service of labour. They represent the payment to workers or employees for contributing their mental and physical skills and energy at the disposal of an employer. Substantively, it is a sum of money paid under contract by an employer to an employee for services rendered.
Difference Between Real Wages and Nominal Wages: - Nominal Wage: Refers to the wage or salary expressed in terms of money, specifically in Ringgit Malaysia. - Real Wage: Refers to the purchasing power of the money wages, which indicates the quantity of goods and services a worker can purchase with their salary.

Market Demand for Labour ( $D_L$ )

Derived Demand: The demand for labour is a derived demand. This means it is the demand for a factor of production (labour) to be used in the production of other goods and services.
Determinants of Demand: - Labour is demanded by firms, producers, or suppliers to produce goods and services (G&S) in the economy. - The firm's demand curve for labour is determined by the Marginal Revenue Product (MRP).
Mathematical Representation of MRP: - $MRP = \frac{\Delta TR}{\Delta L} = \frac{\Delta TR}{\Delta Q} \times \frac{\Delta Q}{\Delta L}$
Employment Logic: - An employer hires labour units one by one to increase total product. However, after a specific point, the law of diminishing marginal returns sets in. At this stage, each additional labour unit hired leads to a total product increase at a decreasing rate. - The employer will stop hiring additional labour at the point where the cost of employing a worker exactly equals the additional total product resulting from the goods and services produced by that worker. - The wage rate paid to labour is equal to the marginal product of labour.
The Inverse Relationship: - The demand curve for labour ( $D_D$ ) slopes downwards, indicating an inverse relationship between the wage rate and the demand for labour. - If the wage rate increases (e.g., from $0W_1$ to $0W_2$ ), the quantity of labour demanded will reduce (e.g., from $0L_1$ to $0L_2$ ). Conversely, when wage rates fall, demand rises. - Contraction of Demand: Occurs when higher wages make it more costly to hire employees. - Expansion of Demand: Occurs when lower wages make labour relatively cheaper than capital, potentially creating a substitution effect.

Supply of Labour ( $L_S$ )

Supply of labour refers to the number of workers willing to work at a specific wage rate. It originates from individuals and households seeking wages or salaries.
Labor Supply Categories: - Supply in a Perfect Market: This is perfectly elastic or horizontal. No single firm can influence the price; it is fixed by the industry. The firm must adjust its labour demand based on the given wage rate. - Supply to an Industry or Occupation: This curve is upward-sloping. As wages rise, more workers enter the industry due to higher incentives. The minimum pay rate at which people are willing to work in an occupation is denoted as $W_0$ . The extent of expansion depends on the elasticity of labour supply. - Supply for the Entire Economy: This is influenced by economic, social, and political factors, population size, working hours, and leisure preferences. The curve may be backward-bending. While supply usually increases with wages, at a certain point (e.g., health reasons or leisure preference), workers may refuse to work more even as wages increase, causing supply to decrease.

Labour Market Equilibrium and Profit Maximization

Equilibrium: Market equilibrium occurs at the intersection of the supply and demand for labour ( $L_S = L_D$ ). Employees are hired until the extra cost of hiring matches the extra sales revenue from their output.
Marginal Wage Cost (MWC): The additional total cost obtained when an additional worker is employed. - Formula: $MWC = \frac{\Delta \text{Wage rate}}{\Delta \text{Labour}}$
Profit Maximization Condition: Profit is maximized at the point where $MRP = MWC$ . - MRP > MWC: The firm gains because worker productivity exceeds the cost of employment. - MRP < MWC: The firm loses because worker productivity is lower than the cost of employment.

Wage Differentials

Different workers receive different wages based on several factors:

Demand and Supply of Labour: Higher demand for a specific skill leads to higher wages; higher supply of a labour type leads to lower wages.
Experience, Skill, and Education: Skilled labour with inelastic supply grows more quickly. More experienced or educated labour commands higher pay.
Risks Involved: Riskier tasks, poor working conditions, or unsocial hours require higher reward/pay as compensation.
Efficiency of Labour: Workers with higher efficiency and a better ability to generate revenue for a firm are rewarded with higher pay.
Mobility of Labour: More mobile labour (easy to transfer across tasks or locations) often commands higher wages.
Trade Unions: Unions use collective bargaining power to achieve wage mark-ups compared to non-unionized workers.
Artificial Barriers: Barriers like professional examinations can limit labour supply and influence wages.

Tutorial: Quantitative Application

Scenario: A perfectly competitive firm sells handbags for $USD\,100$ each.

Data Table:

Labour 0: $TPP = 0$ , $MPP = -$ , $MRP = -$
Labour 1: $TPP = 20$ , $MPP = 20$ ( $\frac{20 - 0}{1 - 0}$ ), $MRP = USD\,2,000$ ( $20 \times 100$ )
Labour 2: $TPP = 39$ , $MPP = 19$ ( $\frac{39 - 20}{2 - 1}$ ), $MRP = USD\,1,900$ ( $19 \times 100$ )
Labour 3: $TPP = 57$ , $MPP = 18$ , $MRP = USD\,1,800$
Labour 4: $TPP = 74$ , $MPP = 17$ , $MRP = USD\,1,700$
Labour 5: $TPP = 90$ , $MPP = 16$ , $MRP = USD\,1,600$
Labour 6: $TPP = 105$ , $MPP = 15$ , $MRP = USD\,1,500$

Employment Decisions for Profit Maximization ( $MRP = \text{Wage}$ ):

If the wage rate is $USD\,1,600$ , the firm should employ 5 workers.
If the wage rate increases to $USD\,1,900$ , the firm should employ 2 workers.