help with 2 and 3 plz

2) Based on day-to-day operations, the manager has determined that he would like to predict the number of customers he can serve according to the relationship s = 20p0.65 where p is the hourly supply price. What price and quantity would result in Shooters reaching a market equilibrium? Explain how you found those values. 3) In addition to finding the equilibrium, the manager would like to determine the weekly cost, revenue and profit. a. State the revenue R as a function of the hourly price p and its derivative. b. What price must the manager charge to achieve maximum revenue? What is the maximum revenue? Explain how you found these values. Week Price, p People, d 1 $ 7.25 93 2 $ 8.50 71 3 $ 9.75 69 4 $ 10.00 6: 5 $ 9.50 69 6 $ 7.50 8! 7 $ 9.00 7 8 $7.25 90 9 $ 6.25 109 10 $ 9.50 62 11 $ 6.00 10: 12 $ 7.25 10 13 $ 5.00 12 14 $ 9.50 7 15 $ 10.25 5 16 $ 8.75 17 $ 7.00 8 18 $ 10.50 6 19 $ 10.25 5 un 57 92 122 77 69 117 108 85 54 74 19 $ 10.25 20 $ 6.75 21 $ 6.00 22 $ 8.75 23 $ 10.00 24 $ 5.75 25 $ 6.25 26 $ 7.25 27 $ 10.25 28 $ 8.25 29 $ 8.50 30 $ 7.00 31 $ 9.00 32 $ 9.00 33 $ 8.50 34 $ 5.00 35 $ 8.50 36 $ 7.00 37 $ 7.75 38 $ 8.50 71 93 67 63 83 134 75 93 88 74 A B 88 74 93 99 135 55 70 81 37 $ 7.75 38 $ 8.50 39 $ 7.50 40 $ 7.00 41 $ 5.25 42 $ 10.00 43 $ 8.50 44 $ 8.75 45 $ 10.75 46 $ 7.25 47 $ 8.50 48 $ 9.50 49 $ 6.75 50 $ 5.00 51 $ 10.75 52 $ 6.25 48 101 75 58 93 127 62 102 2) Based on day-to-day operations, the manager has determined that he would like to predict the number of customers he can serve according to the relationship s = 20p0.65 where p is the hourly supply price. What price and quantity would result in Shooters reaching a market equilibrium? Explain how you found those values. 3) In addition to finding the equilibrium, the manager would like to determine the weekly cost, revenue and profit. a. State the revenue R as a function of the hourly price p and its derivative. b. What price must the manager charge to achieve maximum revenue? What is the maximum revenue? Explain how you found these values. Week Price, p People, d 1 $ 7.25 93 2 $ 8.50 71 3 $ 9.75 69 4 $ 10.00 6: 5 $ 9.50 69 6 $ 7.50 8! 7 $ 9.00 7 8 $7.25 90 9 $ 6.25 109 10 $ 9.50 62 11 $ 6.00 10: 12 $ 7.25 10 13 $ 5.00 12 14 $ 9.50 7 15 $ 10.25 5 16 $ 8.75 17 $ 7.00 8 18 $ 10.50 6 19 $ 10.25 5 un 57 92 122 77 69 117 108 85 54 74 19 $ 10.25 20 $ 6.75 21 $ 6.00 22 $ 8.75 23 $ 10.00 24 $ 5.75 25 $ 6.25 26 $ 7.25 27 $ 10.25 28 $ 8.25 29 $ 8.50 30 $ 7.00 31 $ 9.00 32 $ 9.00 33 $ 8.50 34 $ 5.00 35 $ 8.50 36 $ 7.00 37 $ 7.75 38 $ 8.50 71 93 67 63 83 134 75 93 88 74 A B 88 74 93 99 135 55 70 81 37 $ 7.75 38 $ 8.50 39 $ 7.50 40 $ 7.00 41 $ 5.25 42 $ 10.00 43 $ 8.50 44 $ 8.75 45 $ 10.75 46 $ 7.25 47 $ 8.50 48 $ 9.50 49 $ 6.75 50 $ 5.00 51 $ 10.75 52 $ 6.25 48 101 75 58 93 127 62 102