Why the deadweight loss from a tax is proportional to the square of the tax rate? I can't understand this. Could you please explain it more precisely?

Suppose that the U.S. government decides to charge beer producers a tax. Before the tax, 20 million cases of beer were sold every month at a price of $4 per case. After the tax, 13 million cases of beer are sold every month; consumers pay $7 per case, and producers receive $2 per case (after paying the tax). The amount of the tax on a case of beer is   per case. Of this amount, the burden that falls on consumers is   per case, and the burden that falls on producers is   per case.   True or False: The effect of the tax on the quantity sold would have been the same as if the tax had been levied on consumers. True   False

Suppose that the local government of Columbus decides to institute a tax on soda producers. Before the tax, 30 million liters of soda were sold every month at a price of $9 per liter. After the tax, 23 million liters of soda are sold every month; consumers pay $14 per liter, and producers receive $6 per liter (after paying the tax). The amount of the tax on a liter of soda is $ that falls on producers is $ per liter. True or False: The effect of the tax on the quantity sold would have been smaller if the tax had been levied on consumers. True per liter. Of this amount, the burden that falls on consumers is $ False per liter, and the burden

Suppose that the government imposes a per-unit tax on cell phones. The tax is imposed on producers of cell phones and the amount of the tax is $50 per cell phone. The following graph shows the effect of the tax. Use the graph to answer the following questions. a) How much of the tax per cell phone is paid by producers? How much of the tax per cell phone is paid by consumers? b) How much tax revenue (in total) does the government collect from the tax imposed on cell phones? c) What is the amount of the deadweight loss due to the presence of the tax on cell phones?

9. Effect of a tax on buyers and sellers The following graph shows the daily market for wine when the tax on sellers is set at $0 per bottle. Suppose the government institutes a tax of $40.60 per bottle, to be paid by the seller. (Hint: To see the impact of the tax, enter the value of the tax in the Tax on Sellers field and move the green line to the after-tax equilibrium by adjusting the value in the Quantity field. Then, enter zero in the Tax on Sellers field. You should see a tax wedge between the price buyers pay and the price sellers receive.) 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. 200 PRICE (Dollars per bottle) 160 Supply 140 120 100 14 80 Demand 60 40 20 0 10 20 30 40 50 60 70 80 90 100 QUANTITY (Bottles of wine) 180 0 Before Tax After Tax Graph Input Tool…

5. Calculating tax incidence Suppose that the local government of Raleigh decides to institute a tax on soda producers. Before the tax, 25 million liters of soda were sold every month at a price of $11 per liter. After the tax, 19 million liters of soda are sold every month; consumers pay $16 per liter, and producers receive $7 per liter (after paying the tax). The amount of the tax on a liter of soda is 3 that falls on producers is 5 per liter. O True per liter. Of this amount, the burden that falls on consumers is True or False: The effect of the tax on the quantity sold would have been the same as if the tax had been levied on consumers. False per liter, and the burden

Typed plzzz And Asap  Thanks

Consider the market for mountain bikes .The following graph shows the demand and supply for mountain bikes before the government imposes any taxes Complete the following table by using the previous graphs to determine the values of consumer and producer surplus before the tax , and consumer surplus , producer surplus , tax revenue and dead weight loss after tax . Note : you can determine the areas of different portions of the graphs by selecting the relevant area Consumer surplus before tax and after tax : Producer surplus before and after tax : Tax revenue after tax : Deadweight loss after tax :

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 gin, 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. PRICE (Dollars per bottle) 100 90 80 20 10 0 0 Supply Demand 14 28 42 56 70 84 98 112 126 140 QUANTITY (Bottles) Graph Input Tool At this tax amount, the equilibrium quantity of gin is Market for Gin Suppose the government imposes a $20-per-bottle tax on suppliers. Quantity (Bottles) Demand Price (Dollars per bottle) Tax (Dollars per bottle) 56 60.00 20.00 Supply Price (Dollars per bottle) bottles, and the government collects $ ? 40.00 in tax revenue.

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 x 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.) 2400 2160 1920 Deadweight Loss 1680 1440 1200 960 720 480 240 10 20 30 40 50 60 70 80 90 100 TAX (Dollars per bottle) As the tax per bottle increases, deadweight loss DEADWEIGHT LOSS (Dollars)