A Clothing Distributor Has Four Warehouses That Serve Four Large

Essay

A clothing distributor has four warehouses that 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:
$\begin{array}{ccccc}\text { Warehouse } &\text { City E }&\text { City F }&\text { City G }&\text { City H }\\\text { A } & 0.53 & 0.21 & 0.52 & 0.41 \\\text { B } & 0.31 & 0.38 & 0.41 & 0.29 \\\text { C } & 0.56 & 0.32 & 0.54 & 0.33 \\\text { D } & 0.42 & 0.55 & 0.34 & 0.52 \\\text { City demand } & 2.000 & 3,000 & 3,500 & 5,500\end{array}$
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?