(Chapter 2) Exercise 7:

You are the logistics manager for a building supply company.

The company has warehouses in two cities, Atlanta, Georgia and Memphis, Tennessee. The sales office receives orders from two customers, each requiring dry wall sheets, delivered in boxes which contain 10 sheets per box.

Customer A needs 10 boxes of dry wall sheets

and Customer B needs 14 boxes.

The warehouse in Atlanta has 16 boxes in stock;

the Memphis warehouse has 9 boxes in stock.

Delivery costs per each box from a warehouse to a customer are shown in the following table:

As a logistics manager, you need to find out how many dry wall boxes should be shipped from each city to each customer in order to minimize transportation cost and meet customer needs.

Specifically:

1.Represent the above business description with a linear programming modelwith two decision variables.

2.What are the solutions the problems (graphically) and indicate:

1. What is the optimal number of sheets to be shipped from Atlanta to Customer A?
2. What is the optimal number of sheets to be shipped from Atlanta to Customer B?
3. What is the optimal number of sheets to be shipped from Memphis to Customer A?
4. What is the optimal number of sheets to be shipped from Memphis to Customer B?