Henry, a Persistent Salesman, Calls North's Hardware Store Once a Week

question 27

Essay

Henry, a persistent salesman, calls North's Hardware Store once a week hoping to speak with the store's buying agent, Shirley. If Shirley does not accept Henry's call this week, the probability she will do the same next week is .35. On the other hand, if she accepts Henry's call this week, the probability she will not do so next week is .20.
a.Construct the transition matrix for this problem.
b.How many times per year can Henry expect to talk to Shirley?
c.What is the probability Shirley will accept Henry's next two calls if she does not accept his call this week?
d.What is the probability of Shirley accepting exactly one of Henry's next two calls if she accepts his call this week?

---

Definitions:

Days' Sales In Inventory

A financial metric that measures the average number of days it takes for a company to turn its inventory into sales.

Average Inventory

Average inventory is a calculation that estimates the value or number of goods a company has in stock over a specific period, often used to assess inventory turnover.

Inventory Management

A process in businesses that oversees the flow of goods from manufacturers to warehouses and from these facilities to point of sale.

Specific Identification Method

An inventory costing method that assigns costs to individual items or batches of products, accurately tracking inventory costs.