5. (30 points) Jojo is running a pizza restaurant and each day she needs to purchase ingredients in order to make pizzas. Therefore she needs to decide how many orders of pizza ingredients to purchase from a wholesaler at the cost of $5 each pizza. She collected pizza sales from previous 100 days and observe the following: 1 2 Pizza Demand # of days 3 12 15 25 20 16 9 a. (6 points) Suppose Jojo wants to simulate the average sales of pizzas over the 10-day period. How do you help with this simulation using the top 10 numbers from column 10 of the random number table (attached at the end)? b. (6 points) What happens if you use another column of the random number table (say, top 10 numbers from column 11)? c. (3 points) What is the theoretical average sales per day? d. (5 points)Each pizza is sold for $10, and unsold pizza will be donated to local charity and receive 0. If Jojo chooses to order ingredients and make 5 pizzas every day, how do you simulate the average profit over the 10-day period using random numbers from question (a)? e. (10 points) How many orders of pizza ingredents Jojo needs to make in order to maximize the average profit? Show the simulation results based on random numbers from (a). Hint: possible candidates of pizza ingredients orders: 1,2,3,4,5,6,7. 3 4 5 6 7 Appendix. Random Number Table 52 06 50 88 53 30 10 47 99 37 66 91 35 32 00 84 57 07 37 63 28 02 74 35 24 03 29 60 74 85 90 73 59 55 17 60 82 57 68 28 05 94 03 11 27 79 90 87 92 41 09 25 36 77 69 02 36 49 71 99 32 10 75 21 95 90 94 38 97 71 72 49 98 94 90 36 06 78 23 67 89 85 29 21 25 73 69 34 85 76 96 52 62 87 49 56 59 23 78 71 72 90 57 01 98 57 31 95 33 69 27 21 11 60 95 89 68 48 50 33 50 95 17 89 34 09 93 50 44 51 13 44 34 62 64 39 55 29 30 64 49 44 30 16 62 34 51 95 26 14 57 34 56 62 31 15 40 90 82 51 74 30 35 69 36 85 01 55 92 64 09 85 85 23 08 54 17 12 80 69 24 84 92 16 49 59 88 32 18 50 90 30 36 24 50 48 61 18 27 88 21 62 69 64 48 31 12 73 45 14 46 32 13 49 66 62 74 41 81 02 01 78 82 74 97 37 45 31 94 99 02 68 00 16 16 46 13 85 86 98 92 98 84 54 33 40 42 49 27 64 89 42 66 83 14 74 27 76 03 33 11 97 59 81 72 00 64 61 13 52 74 05 82 82 93 09 96 33 52 78 13 06 28 30 94 23 37 39 30 34 87 01 74 11 46 82 59 94 25 34 32 23 17 01 58 73