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Answer:

Plan A:

When the consumption level of 600 apples,

Marginal tax rate = 5%

Total Tax = 5% * 600 = 0.05 * 600 = $30

Average tax = tax paid / total income * 100 = 30 / 600 * 100 = 5%

Average tax rate = 5%

When the consumption level of 1400 apples,

Marginal tax rate = 40%

Total Tax = 5% * 1000 + 40%(1400 – 1000) = 0.05*1000 + 0.40*400 = $210

Average tax = tax paid / total income * 100 = 210 / 1400 * 100 = 15%

Average tax rate = 15%

When the consumption level of 2500 apples,

Marginal tax rate = 40%

Total Tax = 5% * 100 + 40%*(2500 – 1000) = 0.05*1000 + 0.40*1500 = $650

Average tax = tax paid / total income * 100 = 650 / 2500 * 100 = 26%

Average tax rate = 26%

Plan B:

When the consumption level of 600 apples,

Marginal tax rate = 40%

Total Tax = 40% * 600 = 0.4 * 600 = $240

Average tax = tax paid / total income * 100 = 240 / 600 * 100 = 40%

Average tax rate = 40%

When the consumption level of 1400 apples,

Marginal tax rate = 40%

Total Tax = 40% * 1400 = 560

Average tax = tax paid / total income * 100 = 560 / 1400 * 100 = 40%

Average tax rate = 40%

When the consumption level of 2500 apples,

Marginal tax rate = 10%

Total Tax = 40%*2000 + 10%(2500 – 2000) = 0.4*2000 + 0.10*500 = $850

Average tax = tax paid / total income * 100 = 850 / 2500 * 100 = 34%

Average tax rate = 34%

Plan A is following progressive tax system because average tax rate increases with the increase in taxable income.

Plan A is following progressive tax system because average tax rate decreases with the increase in taxable income.

Consumption Level

Plan A

Plan B

Quantity of apples

Marginal tax rate

Average Tax Rate

Marginal tax rate

Average Tax Rate

600

5%

5%

40%

40%

1400

40%

15%

40%

40%

2500

40%

26%

10%

34%

Progressive

Proportional

Regressive

Plan A

Yes

Plan B

Yes

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