
(a)
Identify the total tax revenue paid by the five workers.
(a)

Explanation of Solution
The tax revenue can be calculated by using the following formula:
Since the tax rates is 15% for all income groups up to $50,000 and 30% for all income group above $50,000, the tax paid by the five workers is calculated as follows:
The income of worker A is $20,000. Substitute the value in Equation-1 to get the value of tax amount as follows:
Thus, worker A has to pay $3,000.
The income of worker B is $40,000. Substitute the value in Equation-1 to get the value of tax amount as follows:
Thus, worker B has to pay $6,000.
The income of worker C is $60,000. Thus, the tax paid up to $50,000 is calculated using Equation-1 as follows:
The tax for remaining amount $10,000
Thus, the total amount of tax paid by worker C is $10,500
The income of worker D is $80,000. Thus, as shown above, the tax paid up to $50,000 is $7,500.
The tax for remaining amount $30,000
Thus, the total amount of tax paid by worker D is $16,500
The income of worker E is $100,000. Thus, the tax paid up to $50,000 is $7,500.
The tax for remaining amount $50,000
Thus, the total amount of tax paid by worker E is $22,500
The total tax revenue is equal to the sum total of each worker’s taxable amount. Thus, it is calculated as follows:
Thus, the total tax revenue is $58,500.
The total income of the five workers is calculated as follows:
Thus, the total income is $300,000.
The percentage of tax revenue to the total income is calculated as follows:
Thus, the total tax revenue is 19.5% of the total income.
(b)
Identify the tax revenue after the decline in income.
(b)

Explanation of Solution
Since the salaries fall by 25%, the new income of worker A is $15,000
Thus, worker A has to pay $2,250.
The new income of worker B is $30,000
Thus, worker B has to pay $4,500.
The new income of worker C is $45,000
Thus, worker C has to pay $6,750.
The new income of worker D is $60,000
The tax for remaining amount $10,000
Thus, the total of tax paid by worker D is $10,500
The new income of worker E is $75,000
The tax for remaining amount $25,000
Thus, the total tax amount paid by worker E is $15,000
The total tax revenue is calculated as follows:
Thus, the total tax revenue is $39,000.
The total income of the five workers after the decline of salaries is calculated as follows:
Thus, the total income is $225,000.
The percentage of tax revenue to the total income is calculated as follows:
Thus, the total tax revenue is 17.33% of the total income.
(c)
Explain the progressive tax structure as an automatic stabilizer.
(c)

Explanation of Solution
Option ‘a’ and option ‘b’ show that as income falls, the tax revenue also follows it. Therefore, a progressive tax structure declines the percentage of tax revenue when income declines. Thus, the progressive tax system act as an automatic stabilizer.
Progressive tax: The progressive tax system is a tax collecting system where the tax rate increases as tax base increases.
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Chapter 21 Solutions
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