2. The mayor of Ithaca is busy. He also wants to remove all of the hydrilla (an invasive seaweed-like species that can ruin natural habitats of fish and poison water fowl!) from Cayuga Lake. The contractors offer the mayor three different proposals, each with a different removal method and level of seaweed removal (ql, ql, or qg). The goal is to remove 10 tons of seaweed using any combination of the methods. The marginal costs of each removal method are, respectively $9q1F$4.5q2, and $3q3. (a) How much of each removal method should the mayor employ to achieve his goal of ID tons'}I (b) The third method has the lowest marginal cost. Why doesn't he exclusively use method 3'? (c) What is the total cost of using all three methods optimally? What about when only using method 3'? (d) If the three marginal costs were constant, and did not scale with the level of seaweed removed, (ie suppose MC1=$10, MC2=$4.5, MCB=$3), how much of each removal method should the mayor employ now