A Clothing Distributor Has Four Warehouses Which Serve Four Large

Essay

A clothing distributor has four warehouses which serve four large cities. Each warehouse has a monthly capacity of 5,000 blue jeans. They are considering using a transportation LP approach to match demand and capacity. The following table provides data on their shipping cost, capacity, and demand constraints on a per-month basis:
$$\begin{array} { c c c c c } \text { Warehouse } & \text { City E } & \text { City F } & \text { City G } & \text { City H } \\\hline \text { A } & .53 & .21 & .52 & .41 \\\text { B } & .31 & .38 & .41 & .29 \\\text { C } & .56 & .32 & .54 & .33 \\\text { D } & .42 & .55 & .34 & .52 \\\text { City demand } & 2,000 & 3,000 & 3,500 & 5,500\end{array}$$
a. How many variables are there in this formulation?
b. How many constraints are involved in this problem?
c. What is the constraint corresponding to City F?