Question

4. The Laffer curve

Government-imposed taxes cause reductions in the activity that is being taxed, which has important implications for revenue collections.

To understand the effect of such a tax, consider the monthly market for rum, which is shown on the following graph.

Use the graph input tool to help you answer the following questions. You will not be graded on any changes you make to this graph.

Note: Once you enter a value in a white field, the graph and any corresponding amounts in each grey field will change accordingly.

Suppose the government imposes a $ 20-per-bottle tax on suppliers.

At this tax amount, the equilibrium quantity of rum is _______ bottles, and the government collects $_______  in tax revenue.

Now calculate the government's tax revenue if it sets a tax of $ 0, $ 20, $ 40, $ 50, $ 60, $ 80, or $ 100 per bottle. (Hint: To find the equilibrium quantity after the tax, adjust the "Quantity" field until the Tax equals the value of the per-unit tax.) Using the data you generate, plot a Laffer curve by using the green points (triangle symbol) to plot total tax revenue at each of those tax levels.

Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically.

Suppose the government is currently imposing an $ 80-per-bottle tax on rum.

True or False: The government can raise its tax revenue by decreasing the per-unit tax on rum.

True

False

Consider the deadweight loss generated in each of the following cases: no tax, a tax of $ 40 per bottle, and a tax of $ 80 per bottle.

On the following graph, use the black curve (plus symbols) to illustrate the deadweight loss in these cases. (Hint: Remember that the area of a triangle is equal to 1/2 × Base × Height. In the case of a deadweight loss triangle found on the graph input tool, the base is the amount of the tax and the height is the reduction in quantity caused by the tax.)

As the tax per bottle increases, deadweight loss _______ 

• increases at a constant rate

• increases by a greater and greater amount

• increases and then decreases

Answer 1

When the tax is $20 the equilibrium is 40 and the government collect $800 as tax revenue.

The given data is executed in an excel and the Tax revenue is calculated:

А в Tax Quantity Tax Revenue 800) 1200 | 1250 1200 800 100

Quantity 1 Tax 20 3 20 5 50 6 60 7 80 8 100 Tax Revenue =A2*B2 =A3*B3 =A4*B4 =A5*B5 =A6*B6 =A7*B7 =A8*B8

The required Laffer curve is drawn from the above table:

Laffer Curve 1400 1200 1000 Tax Revenue 0 20 40 60 80 100 120

If the government is currently imposing a tax of $20 per bottle.

Then if the government want to increase its tax revenue it can be increased by increasing the per bottle tax. That can be observed from the Laffer curve.

So, True.

The deadweight loss is calculated at tax 0, $40 and $80.

Deadweight loss NO Reduction in Tax quantity 200 3 40 20 4 80 40 400 1600

Tax Reduction in quantity Deadweight loss 20 3 40 4 80 =(50-30) =(50-10) =0.5*N3*03 1=0.5*N4*04

Deadweight loss 1800 1600 1400 1200 1000 800 Deadweight loss

From the graph we can observe that when the tax per bottle increases then the deadweight loss increases by a greater and greater extent.

Please don't forget to rate the answer if its helpful, thank you.

Answer 2

tax = $20 per bottle en quantity = 40 battles and government collect = 20x40=800 in dan revenue! 120 1000 70 t بمرم 500 t 250 + 4 tao do loo TR DOL Tan 2000 800 1/2x20x10=100 1600 1200 40 30 so 25 60 20 80 10 100 o 1200 1200 1250 1200 800 - 16x40x20 = you 12x50x25=625 1/2 x 60 X30 = 900 12x80x40=1600 Bod xoox50=2000 20 40 60 80 100 Tave, you can raise tax gwenue by reducing taxes rete at increasing Dwl increases