Hi tutor, I have this question don't really know how to solve it. Can you help me with that. Thank you ?

Question 1 Suppose that the market for vape pens in Australia is competitive and illustrated by the following supply and demand equations: Demand: QD = 1000 20P Supply: 05 = 30P a) Calculate the equilibrium price ($) and quantity, and show this equilibrium on a diagram. Use your diagram to calculate the consumer surplus, producer surplus, and total surplus. b) Due to the health reason, the government wants to discourage people from smoking cigarettes including vaping. Suppose the government wants to reduce the consumption of vape to 400. What would be the specific (per unit) tax imposed by the government (on vape pens producers) to achieve this outcome? What is the per unit incidence of the tax experienced by consumers, and by producers? c) Explain why the tax burden is not equally distributed between consumers and producers. d) The imposition of this tax might help improve people's health, and increase the government's tax revenue. However, it could lead to a reduction in the national well-being. Explain how