Consider the following demand and supply equation for pens, Qd=200-2P and Qs=3P-100. a. Determine the equilibrium price and quantity. Calculate the consumer surplus, producer surplus, and total surplus. b. If the government imposes a price floor of $70, what will be the consumer surplus, producer surplus, total surplus, and dead weight loss? c. If the government imposes a price ceiling of $40, what will be the consumer surplus, producer surplus, total surplus, and dead weight loss? d. Suppose the government imposes a $3 subsidy for the suppliers on pens. Illustrate how this tax will affect the initial equilibrium. e. Determine the equilibrium price and quantity after the subsidy is imposed. What is the price that consumers pay? What is the price that suppliers receive? f. Calculate the consumer surplus, producer surplus, government revenue, and total surplus after the subsidy is imposed. g. Suppose the demand curve for pens was more inelastic, how would you expect the burden of tax on the consumers and suppliers to change? Explain your