A Computer Manufacturing Company Wants to Develop a Monthly Plan

Essay

A computer manufacturing company wants to develop a monthly plan for shipping finished products from three of its manufacturing facilities to three regional warehouses. It is thinking about using a transportation LP formulation to exactly matched capacities and requirements. Data on transportation costs (in dollars per unit), capacities, and requirements are given below:
$\begin{array}{ccccc}& \text { Plant } & \text { Plant } & \text { Plant } \\\text { Warehouse } & 1 & 2 & \underline{3}&\text { Requirements }\\X & 2.41 & 1.63 & 2.09 & 8,000 \\\mathrm{Y} & 3.18 & 5.62 & 1.74 & 2,000 \\\mathrm{Z} & 4.12 & 3.16 & 3.09 & 3,000 \\\text { Capacities } & 4,000 & 6,000 & 3,000 &\end{array}$
a. How many variables are involved in the LP formulation?
b. How many constraints are there in this problem?
c. What is the constraint corresponding to plant 2?