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make a analysis or interpretation to this: -To calculate the number of days customers are turned away, we need to determine the number of days
make a analysis or interpretation to this: -To calculate the number of days customers are turned away, we need to determine the number of days when the demand for zongzi exceeds Tara's daily production. Tara makes 50 zongzi per day, but the average daily demand is 90 zongzi. This means that every day, there is a shortage of 40 zongzi (90 demand - 50 supply). Over a 30-day period, the total shortage would be 1,200 zongzi (40 shortage per day * 30 days). Since the average daily demand is 90 zongzi, we can divide the total shortage by the average daily demand to find the number of days customers are turned away. So, 1,200 zongzi / 90 zongzi per day = 13.33 days. Since we can't have a fraction of a day, we round up to the nearest whole number. Therefore, customers would be turned away for 14 days within a 30-day period. -If Tara makes 100 zongzi daily, she is already making more than the average daily demand of 90 zongzi. This means she has a buffer of 10 zongzi each day to account for any unexpected increase in demand or spoilage. Given that she is making 100 zongzi daily, she is also meeting the 10% target buffer (9 zongzi) suggested to minimize the days customers are turned away. Therefore, theoretically, if the demand does not exceed 100 zongzi in any given day within the 30 days period, there would be no days where customers are turned away because she would always have enough zongzi to meet the demand. However, this is under the assumption that the demand remains constant or does not exceed 100 zongzi per day. If the demand exceeds 100 zongzi on any given day, then customers would be turned away on those days. The exact number of days customers are turned away would depend on the specific daily demand over the 30 days period, which is not provided in the question. -To minimize the days customers are turned away and to adhere to a 10% target, she should make enough zongzi to meet the daily demand, considering the time it takes to prepare and the time before spoiling. Given that the average daily demand is 90 zongzi, and it takes 2 days to prepare, she should always have 180 zongzi in preparation to meet the demand for the next two days. However, since zongzi spoils after 24 hours, she can only sell the zongzi made on the previous day. This means she should make 90 zongzi per day, so she always has fresh zongzi to sell and is also preparing for the next day's demand. To adhere to a 10% target, she should make an additional 10% of the daily demand, which is 9 zongzi. This is to account for any unexpected increase in demand or spoilage. So, in total, she should make 99 zongzi per day (90 to meet the daily demand and 9 as a buffer). This way, she can minimize the days customers are turned away and adhere to a 10% target
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