3. {16 points) The demand curve for ski lessons is given by D(pD) : 1002pn and the supply curve is given by S(p5} = 3p5. a. What is the equilibrium price? What is the equilibrium quantity? b. A taX of $10 per ski lesson is imposed on consumers. Write an equation that relates the price paid by demanders to the price received by suppliers. Write an equation that states that supply equals demand. c. Solve these two equations for the two unknowns ps and pm with the tax of 10$. d. A senator from a mountainous state suggests that although ski lesson consumers are rich and deserve to be taxed, ski instructors are poor and deserve a subsidy. He proposes a $6 subsidy on production while maintaining the $10 tax on consumption of ski lessons. Would this policy have any different effects for suppliers or for demanders than a tax of $4 per lesson