1.) A firm orders on average 400 wheels each month. Demand is normally distributed with standard deviation of the monthly demand being 20 wheels. The ordering cost is $8 per order. The cost to buy one wheel is $4 per wheel. Annual carrying costs are 50% of unit cost. The supplier lead time is 2 operating days. The firm operates 240 days per year, in other word, the firm operates 20 days each month. Each order is received from the supplier in a single delivery. There are no quantity discounts. Write your answer and then Round your answer up to the nearest number for future calculation. (e.g 9.6 => 10). Please clearly write down the formulation and calculation for your answers. Note: Here I make the time measures bolded for you to make you pay the attention to their differences. Please notice the difference in times measure units, so that you do not make mistake by doing calculations with different time measures. You need to convert the data to the same time measures before doing any calculation. Another useful tool is to summarize your data in a table, like what I did in the lecture 1j. What is the reorder point if the firm maintains a service level of 95%? 1k. For question 9, if everything else is the same but the lead time is lower, will the reorder point be lower or higher? Please explain.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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1.) A firm orders on average 400 wheels each month. Demand is normally distributed with standard deviation of the monthly demand being 20 wheels. The ordering cost is $8 per order. The cost to buy one wheel is $4 per wheel. Annual carrying costs are 50% of unit cost. The supplier lead time is 2 operating days. The firm operates 240 days per year, in other word, the firm operates 20 days each month. Each order is received from the supplier in a single delivery. There are no quantity discounts. Write your answer and then Round your answer up to the nearest number for future calculation. (e.g 9.6 => 10). Please clearly write down the formulation and calculation for your answers. Note: Here I make the time measures bolded for you to make you pay the attention to their differences. Please notice the difference in times measure units, so that you do not make mistake by doing calculations with different time measures. You need to convert the data to the same time measures before doing any calculation. Another useful tool is to summarize your data in a table, like what I did in the lecture

1j. What is the reorder point if the firm maintains a service level of 95%? 1k. For question 9, if everything else is the same but the lead time is lower, will the reorder point be lower or higher? Please explain.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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