There are many state parks in Texas and they provide Texas residents with numerous places for recreation such as swimming and hiking. Suppose you are a policy analyst for Texas State Parks. You are experimenting with changing the entry fees for state parks. (a) You first decide that the best way to go about this is to randomly choose one Texas State Park to experiment with. You randomly choose Somerville State Park. There you decrease entry fees by 50%. You find that this leads to a 75% increase in visits to Somerville State Park. What would you conclude is the price elasticity of demand for Somerville State Park?(b) Did your experimentation of lowering the entry fee lead to higher or lower revenue for Somerville State Park?(c) Excited by your research, the Director of Texas State Parks decides to decrease the entry fees for all Texas State Parks by 50%. Would you expect that visitation for all Texas State Parks will increase exactly 75%, more than 75%, or less than 75%? Explain your reasoning.