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CPG Bagels starts the day with a large production run of bagels. Throughout the morning, additional bagels are produced as needed. The last bake is completed at 3 p.m. and the store closes at 8 p.m. It costs approximately $0.15 in materials and labor to make a bagel. The price of a fresh bagel is $0.60. Bagels not sold by the end of the previous day are sold the next day as "day old" bagels in bags of six for $0.99 a bag. About two-thirds of the day-old bagels are sold; the remainder are just thrown away. There are many bagel flavors, but for simplicity, concentrate just on the plain bagels. The store manager predicts that demand for plain bagels from 3 p.m. until closing is normally distributed with a mean of 50 and a standard deviation of 25. Use Table 13.4. If a part of the question specifies whether to use Table 13.4, or to use Excel, then credit for a correct answer will depend on using the specified method. How many bagels should the store have at 3 p.m. to maximize the store's a. expected profit (from sales between 3 p.m. until closing)? (Hint: Assume day-old bagels are sold for $0.99/6=$0.165 each, that is, don't worry about the fact that day-old bagels are sold in bags of six.) Use Table 13.4 and round-up rule. (Round your answer to a whole number.) Suppose the store manager has 101 bagels at 3 p.m. How many bagels should b. the store manager expect to have at the end of the day? Use Table 13.4 and round-up rule. Suppose the manager would like to have a 0.98 in-stock probability on demand c. that occurs after 3 pm. How many bagels should the store have at 3 p.m. to ensure that level of service? Use Table 13.4 and round-up rule