Suppose that the demand and supply for pack of cigarettes is represented by the given equations.

Demand: P=50-2Qd

Supply: p=15-3Qs

1. Calculate the equilibrium price and quantity and draw a diagram to illustrate your answer. Your answers must include both a diagram and words to clearly explain your diagram.
2. Assume that each pack of cigarettes incurs an additional external cost of $5 due to the health risks associated with second-hand smoke. Analyse if the equilibrium quantity in part (a) reflect the socially optimal level of quantity? Support your answer by examining the presence of deadweight loss (DWL) on your graph
3. Suppose you've been appointed by the government to evaluate the effects of imposing a tobacco excise tax on cigarette suppliers to address public health issues. What specific corrective tax per pack of cigarettes would you propose, and what rationale would you provide to support your recommendation?
4. What are the new prices paid by consumers and received by producers, and what is the new quantity bought?
5. For the scenario after the introduction of the tax, illustrate on your diagram and compute the following:(i) Consumer surplus, (ii) Producer surplus, (iii) Deadweight loss, (iv) Total Surplus

PLEASE DRAW GRAPHS FOR THESE QUESTIONS AND GIVE IMAGES