The document discusses a transportation problem involving three plants and four warehouses, detailing production capacity, production costs, and shipping costs. The aim is to minimize total costs related to transportation and production. It presents a specific objective function and calculates the total cost based on a given allotment.

1. Transportation Problem
The following table shows the production capacity, unit production cost, and unit shipping cost
from three plants at St. Louis, Evansville, and Bloomington to warehouses at Terre Haute,
Indianapolis, Fort Wayne, and South Bend. We need to minimize the total cost.
C. Write the objective function.SourceDestinationPlant CityProduction
Capaticy
UnitsUnit
Production
CostTerre
HauteIndianapolisForst
WayneSouth
BendSt. Louis1001086129Evansville1101255108Bloomington1201532910Demand
(Units)150604545
Solution
Total Cost as per Above Allotment.
=((25x10)+(45x10))+((90x12)+(20x12))+((60x15)+(60x15))=3820/-