Question

In: Economics

Consider the case where the demand curve and supply curve for unskilled labour are given in...

Consider the case where the demand curve and supply curve for unskilled labour are given in the following table:

(1) Wage Rate (/hour) (2) Wage Rate2 (/hour) (3) Q of Labour Demanded (hrs/week) (4) Wage Rate2 (/hour) (5) Q of Labour Supplied (hrs/week)
9.5 1000 1900
9 1200 1800
8.5 1400 1700
8 1600 1600
7.5 1800 1500
7 2000 1400
6.5 2200 1300

1. What is the equilibrium wage rate?    

2. What is the quantity of labour hours hired at equilibrium?    

Consider the effect of an "employment insurance premium". This tax is set at $1.50/hour and paid in full by the employer. Fill in the empty column (2) above to assist you in answering the following questions:

3. What is the new equilibrium wage rate?    

4. What is the quantity of labour hours hired at the new wage rate (part 3)?    

5. Workers absorb how much of this tax?    

6. Employers absorb how much of this tax?    

Suppose now, that this employment insurance premium is paid in full by the workers instead of the employers. Fill in the empty column (4) & ignore column (2) above to assist you in answering the following questions:

7. What is the new equilibrium wage rate?   

8. What is the quantity of labour hours hired at the new wage rate (part 7)?    

9. Workers absorb how much of this tax?    

10. Employers absorb how much of this tax?     

11 Does it matter who pays the tax?

Solutions

Expert Solution

Answer : 1) The equilibrium condition occur when demand = supply. In the given table the labor demand = labor supply = 1600 at wager rate $8/hour. Hence the equilibrium wage rate is $8/hour.

2) In the given table the labor demand = labor supply = 1600. Hence at equilibrium 1600 labor hours are hired.

3) After $1.50/hour tax set the columns of wage rate becomes :

1. wage rate (/hour) 2. wage rate (/hour)
9.5 9.5 + 1.50 = 11
9 9 + 1.50 = 10.50
8.5 8.5 + 1.50 = 10
8 8 + 1.50 = 9.50
7.5 7.5 + 1.50 = 9
7 7 + 1.50 = 8.50
6.5

6.5 + 1.50 = 8

As demand = supply = 1600 at $9.50/hour after tax set, hence the new equilibrium wage rate is $9.50/hour.

4) As at new wage rate $9.50/hour the Q of labor demand is 1600, hence 1600 labor hours are hired at new wage rate.

5) Based on given information, the tax $1.50/hour is fully paid by only employers. So, workers absorbs $0/hour of $1.50/hour tax.

6) Based on given information, the tax $1.50/hour is fully paid by only employers. So, employers absorbs $1.50/hour of $1.50/hour tax.


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