Question 1 Consider product Y with the following demand and supply functions: Qd = 100 – 2p Qs = -20 + 4p The government has not currently imposed an indirect tax on product Y. However, the production...

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Question 1 Consider product Y with the following demand and supply functions: Qd = 100 – 2p Qs = -20 + 4p The government has not currently imposed an indirect tax on product Y. However, the production and consumption of product Y is considered undesirable. Subsequently, the government imposes an indirect tax on the product. The consumer pays a price of $24 per unit after tax. Assume the product has an income elasticity coefficient of +1.5. Use the above information to undertake the following: 1. Draw a demand and supply graph illustrating the market for Product Y both before and after the imposition of the indirect tax. (2.5 marks) 1. Calculate the per unit tax. (0.5 marks) 1. Calculate and explain consumer surplus, producer surplus and deadweight loss before and after the imposition of the indirect tax. (3 marks) 1. Calculate and interpret the own price elasticity of demand using the arc method. (1 mark) 1. Calculate and explain the burden of the tax. Discuss the relationship between the burden of the tax and the coefficient of elasticity calculated in part iv. (2 marks) v. The government increases direct (income) tax by 8% and this decreases average disposable income by 2%. Use the case study above as a guide to discuss the impact of this policy on the demand for Product Y. (2 marks) vi. Explain whether the government is likely to reduce indirect taxes or increase direct taxes in order to discourage the consumption of Product Y. (2 marks) Question 2 Use the following information and the graph, which illustrates the market for a pesticide with no government action, to answer the questions below. An upstream factory produces pesticide, and creates waste, which it dumps into a river on the outskirts of this town in regional Victoria. Farmers are located downstream which must filter the water before they can use it. The marginal external cost of the waste is $50 per tonne of pesticides produced. i. What is the market price and quantity of pesticide produced? Briefly explain (0.5 marks) ii. What is the socially optimal price and quantity of pesticide produced? Briefly explain. (0.5 marks) iii. Discuss the market failure evident in this market. Your answer should include a discussion of the most significant economic concepts relating to this market failure. Concepts that should be included but not limited to are: allocation of resources, type of externality, how market failure arises. (3 marks) iv. Re-draw the graph of the market for pesticide which demonstrates and illustrates the market failure discussed above in part (iii). (1 mark) v. Briefly discuss one government option available in correcting market failure in this market. (2 marks)
Answered Same DayNov 23, 2021RMIT University

Answer To: Question 1 Consider product Y with the following demand and supply functions: Qd = 100 – 2p Qs = -20...

Rajeswari answered on Nov 25 2021
144 Votes
72435 assignment
Given that demand function is given by
Q_d = 100-2p while supply is given by
Q_s = -20+4p
a) Before tax,
equilibrium would be reached when Q_d = Q-s Or 100-2p = -20+4p
6p =120 or p = 20, i.e. Equilibrium when price = 20 and demand = supply = 60
Graph is as follows:
When indirect tax is imposed, for the same supply we have price increased by 24 per unit.
Hence supply would change to
Q_s’ = New supply = -20+4(p-24) = -20+4p-96
= 4p-116
So new equilibrium would be when Q_s’ = Q_d
4p-116 = 100-2p
6p = 216 or p = 36
i.e. price is rised from 20 to 36 dollars.
So per unit tax = 16 dollars
Thus we get new curve as follows:
The blue shaded region represents the dead weight loss.
Thus consumer surplus region is reduced by red shaded rectangle.
Producer surplus is increased by green shaded triangle.
But due to price elasticity demand also would change.
Hence we have 1.5 = Or dQ = 81
When demand is elastic we find that full loss is borne by the producer as shown above
Hence here elasticity is 1.5 so it is shared between producer and consumer.
Here we can see split between both.
Thus when coefficient of elasticity of demand is positive and greater than 1, we find that producers also carry some part of burden due to...
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