When the wage was $10 per hour, a group of workers supplied 30 hours of work per week on average. The wage then increased to $12 per hour, and the same group of workers supplied 33 hours of work per week on average. What is the elasticity of labor supply for this group of workers

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Answer:

0.5

Explanation:

Given: Wages was $10 per hour.

            Labor supply= 30 hours per week.

            New wages= $12 per hour

            New labor supply= 33 hours per week.

Elasticity of labor supply is calculated to know the response of labor supply due to change in wage rate in a given period of time.

Formula; Elasticity of labor supply= [tex]\frac{\% change\ in\ labor\ supply}{\% change\ in\ wage\ rate}[/tex]

First finding the percentage change in labor supply.

⇒ [tex]\% change\ in\ labor\ supply= \frac{33-30}{30} \times 100[/tex]

⇒ [tex]\% change\ in\ labor\ supply= \frac{3}{3} \times 10[/tex]

∴ [tex]\% change\ in\ labor\ supply= 10[/tex]

now, finding percentage change in wage rate

⇒ [tex]\% change\ in\ wage\ rate= \frac{12-10}{10}\times 100[/tex]

⇒ [tex]\% change\ in\ wage\ rate= 2\times 10[/tex]

∴ [tex]\% change\ in\ wage\ rate= 20[/tex]

Next, finding the elasticity of labor supply.

Elasticity of labor supply= [tex]\frac{10}{20}[/tex]

∴ Elasticity of labor supply = [tex]0.5[/tex]

Hence, 0.5 is the elasticity of labor supply.