Part I Scenario 1 - Market Analysis The manager of Shooters, a small billiards hall, has been recording various data over the past year in an effort to improve his business. There is not much competition in the local area, so he has had some flexibility with the prices that he charges. His objective over the past year was to determine if there was a connection between the price he charges. the amount of customers that visit the hall each week, and his weekly profit. The data below represents the managers record over the past year. For each week during the year, he recorded the price it would cost to play pool for 1 hour and the average number of hourly patrons during that week. Use this data to determine the weekly demand d as an exponential function of the hourly price p. Part II Week Price, p People, d Week Price, p People, d Week Price, p People, d 1 $ 10.75 47 19 $ 7.75 84 37 $ 6.00 122 2 $ 9.00 78 20 $ 6.75 108 38 $ 7.50 84 3 $ 9.00 67 21 $ 10.75 53 39 $ 9.75 57 4 $ 10.25 63 22 $ 10.50 49 40 $ 7.00 98 5 $ 8.50 86 23 $ 5.50 128 41 $ 9.25 67 6 $ 9.75 65 24 $ 8.25 76 42 $ 7.50 87 7 $ 8.00 81 25 $ 6.50 115 43 $ 9.50 72 8 $ 6.25 118 26 $ 8.50 68 44 $ 6.25 100 9 $ 6.00 123 27 $ 5.00 128 45 $ 10.50 67 10 $ 10.75 61 28 $ 5.75 115 46 $ 9.50 57 11 $ 7.25 100 29 $ 8.75 82 47 $ 8.00 78 12 $ 10.50 56 30 $ 5.50 125 48 $ 9.75 73 13 $ 6.25 102 31 $ 8.75 65 49 $ 7.75 92 14 $ 9.50 61 32 $ 8.50 85 50 $ 8.50 85 15 $ 10.00 63 33 $ 10.00 69 51 $ 6.75 104 16 $ 6.00 105 34 $ 6.75 96 52 $ 5.75 122 17 $ 10.25 57 35 $ 10.00 58 18 $8.50 78 36 $7.25 97 From to day-to-day operations, the manager has determined that he would like to predict the number of customers according to the relationships =20p 0.65, where p is the hourly supply price. What price and quantity would result in Shooters reaching a market equilibrium?