Understanding marginal and average tax rates

Consider the imaginary nation of Leguminville, whose citizens only consurne artichokes. Assume that the price of artichokes is $$1$ each. The government of Leguminville has developed two different tax schemes, the details of which are outlined below:

Plan $x$

Consumption up to $1,000$ artichokes is taxed at $5\%.$

Consumption higher than $1,000$ artichokes is taxed at $40\%.$

Plan $Y$

Consumption up to $2,000$ artichokes is taxed at $40\%.$

Consumption higher than $2,000$ artichokes is taxed at $10\%.$

Use the Plan $x$ and Plan Y tax schemes to complete the following table by deriving the marginal and average tax rates under each tax plan at the consumption levels of $600$ artichokes, $1,400$ artichokes, and $2,500$ artichokes, respectively.

Consumption Level

$($Quantity of artichokes$)$

Plan $x$

Marginal Tax Rate Average Tax Rate

$($Percent$)$

$6001,4002,500$

Plan $Y$

Marginal Tax Rate Average Tax Rate

$($Percent$)$

$($Percent$)$

Complete the following table by indicating whether each plan is a progressive tax system, a proportional tax system, or a regressive tax system.

$\backslash$table$[[,$Progressive,Proportional,Regressive$],[$Plan X$,0,,],[$Plan Y$,0,,]]$