Problem: Suppose a price floor of $30 is imposed by government in a competitive market where demand and supply are given by Qd = 100 - 2P and Qs = 5 + 3P. Calculate the resulting Qd, Qs and the market surplus. What will the total cost to taxpayers be if the government agrees to purchase all surplus at $30 per unit? Be detailed in your response and provide examples also.