Pete's Plastics Manufactures Plastic at Plants in Miami, St Formulate the LP for This Problem

Essay

Pete's Plastics manufactures plastic at plants in Miami, St. Louis and Cleveland. Pete needs to ship plastic to customers in Pittsburgh, Atlanta and Chicago. He wants to minimize the cost of shipping the plastic from his plants to his customers. The data for the problem is summarized in the following table.
$$\begin{array}{l}\text { \quad\quad\quad\quad\quad Distance Fram Plants to Customers }\\\begin{array} { l c c c c } \text { Plant } & \text { Pittsburgh } & \text { Atlanta } & \text { Chicago } & \text { Supply } \\\hline \text { Miami } & 1200 & 700 & 1300 & 30 \\\text { St. Lauis } & 700 & 550 & 300 & 40 \\\text { Cleveland } & 125 & 675 & 350 & 50 \\\hline \text { Demand } & 40 & 60 & 20 &\end{array}\end{array}$$ Formulate the LP for this problem.