Tarynn's Tarts Shop bakes and sells fruit tarts. Each morning, the small shop satisfies the demand for the day using freshly baked tarts. Tarynn's can make the tarts only in batches of a dozen each. Each tart costs $0.25 to make. The tarts are sold in packets of 12. Past data have shown that the demand ranges from 36 to 96 tarts per day. A fruit tarts sells for $0.40, and any left over at the end of the day is sold for a salvage price of $0.10 per tart. If demand exceeds supply, there is a cost of $0.15 per tart. The shop records show that the daily demand falls into three categories: high, average, and low. These demands occur with probabilities of 0.30, 0.45, and 0.25, respectively. The distribution of the demand by categories is given in the following table. Assume 60 fruit tarts are made each day. Demand Probability Distribution Demand High Average Low 36 0.05 0.10 0.15 48 0.10 0.20 0.25 60 0.25 0.30 0.35 72 0.30 0.25 0.15 84 0.20 0.10 0.05 96 0.10 0.05 0.05 (a) Simulate for 15 days to find the average daily profit. Use the following random numbers: For demand category: 69, 30, 66, 55, 80, 10, 92, 82, 04, 31, 23, 93, 42, 16, 29. For demand: 56, 32, 79, 24, 35, 98, 88, 17, 86, 13, 44, 13, 51, 17, 62. Page 7 of 7 (b) Explain why your calculated average daily profit cannot be assumed to be representative of the average daily profit for Tarynn's Tarts Shop. (c) Explain how simulation can be used to determine the optimal number of tarts Tarynn's should bake each day so as to m