Note: Explain and show the details of your work when answering the following questions! Suppose the demand and supply curves of a product are given in the following graph where price P (in dollars) is on the vertical axis and quantity Q on the horizontal axis. Price/unit 50 45 40 35 30- 25 20- 15 - 10- 100 200 300 400 500600 700 800 900 Quantity a. How much surplus do producers receive at the equilibrium price? Show your steps! b. A price floor of $45 is imposed on this market. Suppose the government agrees to purchase all units that consumers do not purchase at the floor price of $45 per unit. Determine the cost to the government of buying firms' unsold units. Explain your answer! c. If the government imposes a price ceiling of $30, does this policy result in: (i) a shortage; (ii) a surplus; (iii) neither? Determine the size of the shortage or surplus? Explain your answer! O d. What is the effect of a price ceiling of $40 on this market? Explain your