Inventory Models 4. (HINT: Refer to the inventory problem being faced by A to Z Carpets Inc. in the chapter) TP Inc. is a small company specializes in supplying toilet paper to small businesses, offices, universities, restaurants, and other similar establishments in the city of San Antonio. TP Inc. purchases their stock from brand-name toilet paper manufacturers and has significant limitations on its ability to carry an exceptionally large inventory. Despite the small business style, the company is immensely popular and gets enough clients that the demand is not deterministic in nature, but instead, follows a probabilistic pattern. The Manager of TP Inc. would like a recommendation on how many packages of toilet paper to order and when to order in an effort to minimize the inventory costs. You are provided the following pertinent information regarding the company and costs. Answer questions (a.), (b.) and (c.) given below

Ordering Cost is $100.00 per order

Cost of each package of toilet paper is $9.00 per box for TP Inc.

The company uses a 25% annual holding cost rate for its inventory

The lead time for a new order of toilet paper is 8 days

Sales data indicate that the demand during 8-day lead time follows a normal probability distribution with a weekly mean of 750 boxes and a standard deviation per week of 80 boxes.

The number of working days per year is 330

Acceptable probability of a stock-out is 1% or 0.01.

a. What is the current EOQ?

b. What is the current Reorder point?

c. The manager is also considering increasing the risk of stockouts from 1% to 10%. Do you think that would help him reduce costs? Explain why.