Paper cups are popular items for schools and are produced in the market. There are equations for the Supply and Inverse Demand of paper cups that model its Supply and Demand graph. These equations are (for supply), P = 2 + 3Q^s, and (for Inverse Demand), P = 12 - 2Q^d. Likewise, paper cups are inexpensive and not very helpful for companies trying to achieve high profits. As a result, the government placed a price support of $9.

(Part I) Draw the market equilibrium with the government intervention (Q**, P**) of the price ceiling. Please label the graph for slopes, equilibrium points, price support, etc.

(Part II) What is the market equilibrium with the intervention of the government (Q**, P**)?

(Part III) What is the government surplus (GS**)?

(Part IV) What is the Dead Weight Loss (DWL**)?