Question Homework #5-Solutions Inventory Management and Forecasting

Homework #5-Solutions
Inventory Management and Forecasting
1. As a general rule the CEO of Bronco department store does not approve of a stock out probability of more than 2%. The annual interest rate is 10%. The store is up and working 12 months a year and 30 days a month. The store orders specific T-shirts for men and women but both types come in one size only. The daily demand of men’s T-shirts is normally distributed with a mean of 150 and standard deviation of 5. The daily demand for women’s T-shirts is also normally distributed but with a mean of 100 and standard deviation of 10. Every time that you place an order the supplier will set up a new batch of T-shirts to be printed out and will send a truck with the T-shirts to your store. The carrier costs you $50 and it will take 6 days for you to receive the order. T-shirts will not take up much space so that the physical holding cost is negligible. However, each T-shirts costs the department store $10 to purchase. The store uses the continuous review system for T-shirts.

a) How many men’s and women’s T-shirts should you order each time?
b) How many T-shirts of each type do you need to keep as safety stock to satisfy the CEO’s targeted service level?
c) What is the reorder point for the women’s and men’s T-shirts? To report to the shareholders the CEO needs the following information from you.
d) What is the average annual setup cost for each type of T-shirt?
e) What is the average annual holding cost for each type of T-shirt?
f) What is the inventory turn (per year) for each type of T-shirt?
The CEO suggests replacing the men’s and women’s T-shirts with a one size unisex version. Assume this replacement does not affect the demand of the customers. The demands of men and women are independent random variables.
g) What is the new order quantity?
h) How much safety stock you need to keep satisfy the CEO’s stock out rule?
i) What is the reorder point for the women’s and men’s T-shirts?
To report to the shareholders the CEO needs the following information from you. j) What is the average annual setup cost?
k) What is the average annual holding cost?
l) What is the inventory turn (per year) for each type of T-shirt?

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