I\'m stuck on this question! Any help? Per unit taxes (a) A per-unit tax creates

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I'm stuck on this question! Any help? Per unit taxes (a) A per-unit tax creates a wedge between the price that buyers pay (P_D) and the price that sellers receive (P_s). Starting from the pre-tax equilibrium and using the maintenance of equilibrium condition, show formally how dP_d/dt and dP_s/dt depend on the elasticities of supply and demand (e_s and e_D, respectively). (b) A linear approximation to the dead weight loss accompanying a small tax, dt, is given by DWL = -0.5(dt)(dQ). Show how this expression can be rewritten as a function of the elasticities of supply and demand (e_s and e_D, respectively). (b) A linear approximation to the dead weight loss accompanying a small tax, dt, is given by DWL = -0.5 (dt) (dQ). Show how this expression can be rewritten as a function of the elasticities of supply and demand (e_s and e_D, respectively,) the tax rate (dt/P_0) and the original allocation (Q_0,P_0). Provide the intuition for the resulting expression. (c) Suppose that the demand curve for a particular commodity is Q_D = a-bP_D, where Q_D is the quantity demanded, P_D is the consumer price, and a and b are positive constants. The supply curve for the commodity is Q_s = c+dP_s, where Q_s is the quantity supplied, P_s is the producer price, and c and d are positive constants. (i) Find the equilibrium price and output as functions of the constants a, b, c and d. (ii) Suppose now that a unit tax of t dollars is imposed on the commodity. Compute the new equilibrium consumer and producer prices and output. Explain the role that parameters b and d play.

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do you need answer for the two steps?

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