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The governor is concerned about poverty in the state and proposes that the state minimum wage be raised from $\$ 7.25$ per hour to $\$ 15.00$ per hour. She claims that this would be an effective way to assist lower income families; however, she is worried that a large number of jobs will be lost as a result. Briefly evaluate her arguments using a labor supply and demand graph. Explain how the long-run impact of the minimum wage law may be different than the short-run impact.

   The governor is concerned about poverty in the state and proposes that the state minimum wage be raised from $\$ 7.25$ per hour to $\$ 15.00$ per hour. She claims that this would be an effective way to assist lower income families; however, she is worried that a large number of jobs will be lost as a result. Briefly evaluate her arguments using a labor supply and demand graph. Explain how the long-run impact of the minimum wage law may be different than the short-run impact.
 
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Principles of Microeconomics
Principles of Microeconomics
Stevenson,… 1st Edition
Chapter 11, Problem 3 ↓

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The supply curve for labor is upward sloping, indicating that as wages increase, workers are more willing to work or supply more labor hours. The demand curve for labor is downward sloping, meaning that as wages increase, employers demand fewer workers because the  Show more…

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The governor is concerned about poverty in the state and proposes that the state minimum wage be raised from $\$ 7.25$ per hour to $\$ 15.00$ per hour. She claims that this would be an effective way to assist lower income families; however, she is worried that a large number of jobs will be lost as a result. Briefly evaluate her arguments using a labor supply and demand graph. Explain how the long-run impact of the minimum wage law may be different than the short-run impact.
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Key Concepts

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Short-run versus Long-run Impacts
In the short run, wage-setting and employment adjustments are often constrained by factors such as existing contracts, limited mobility, and slower adjustment of business practices, which may dampen the immediate negative effects on employment. However, in the long run, as firms and labor markets adjust—through mechanisms like technological change, shifts in business strategy, and reallocation of labor—the negative impact on employment may become more pronounced. Over time, firms may substitute labor with capital or restructure operations to cope with higher wage costs, potentially leading to a larger reduction in employment than observed initially.
Minimum Wage
A minimum wage is a legally mandated lowest hourly wage that employers can pay their workers. In economic theory, setting a wage floor above the market equilibrium can help protect low-income workers, but it can also lead to unintended consequences in the labor market. Specifically, if the minimum wage exceeds the equilibrium, it can lead to a surplus of labor—commonly interpreted as unemployment—as employers hire fewer workers than they would at a lower wage.
Labor Supply and Demand Model
The labor supply and demand model is a fundamental framework in economics used to analyze how wages and employment levels are determined in the market. The supply curve represents workers' willingness to work at different wage levels, while the demand curve shows employers’ willingness to hire at those rates. The intersection of these curves indicates the market equilibrium wage and employment level. When external interventions, such as a minimum wage, are introduced, the balance between supply and demand is disrupted.
Price Floor Effects in the Labor Market
A minimum wage, when set above the equilibrium wage, functions as a price floor in the labor market. This intervention prevents wages from falling to their natural equilibrium, leading to a surplus of labor because the quantity of labor supplied exceeds the quantity demanded at that wage. This surplus is analogous to unemployment, as more workers are willing to work at the higher wage than there are jobs available.

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