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The demand and supply of labour in a certain industry are described by the following equations: Nd = 400 – 2w  and Ns = 240 + 2w, where Nd is the number of workers employers want to hire, and Ns is the number of people willing to work.  Both labour demand and labour supply depend on the real wage w, which is measured in dollars per day. Suppose that government has decided to impose a minimum wage at $50 per day.  What will be the resulting change in (un)employment?

Question

The demand and supply of labour in a certain industry are described by the following equations: Nd = 400 – 2w  and Ns = 240 + 2w, where Nd is the number of workers employers want to hire, and Ns is the number of people willing to work.  Both labour demand and labour supply depend on the real wage w, which is measured in dollars per day. Suppose that government has decided to impose a minimum wage at $50 per day.  What will be the resulting change in (un)employment?

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Solution

Step 1: Identify the original equilibrium wage and quantity of labor.

To do this, set the demand equation equal to the supply equation and solve for w (the wage).

400 - 2w = 240 + 2w

Solving for w gives w = 40. This is the original equilibrium wage.

Step 2: Identify the quantity of labor demanded and supplied at the new minimum wage.

Substitute the new minimum wage of $50 into both the demand and supply equations.

For the demand equation: Nd = 400 - 2(50) = 300. This is the number of workers employers want to hire at the new minimum wage.

For the supply equation: Ns = 240 + 2(50) = 340. This is the number of people willing to work at the new minimum wage.

Step 3: Identify the change in (un)employment.

The change in employment is the difference between the quantity of labor demanded and the quantity of labor supplied at the new minimum wage.

Change in employment = Nd - Ns = 300 - 340 = -40.

This means that there will be 40 fewer jobs available at the new minimum wage, leading to an increase in unemployment.

This problem has been solved

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