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9. Susan and Gabo opened The Lunch Place near a busy college. For their luncheon special, experience shows that at price p per plate, the number of specials ordered each day will be x (p) =- 2700 p' + 36 a) [4] Find price elasticity of demand E as a function of p. When the price per plate is p = $5, how should the price be changed (if at all) to increase total revenues, relating your answer to the elasticity of demand? HINT: Recall: Price elasticity of demand is given by: E = dx p dp x b) [4] Find the revenue-maximizing price. How many specials would be sold at this price