MAXIMISATION PROBLEMS [Not Involving Looping]
A particular product is manufactured in factories A, B, C and D; and is sold at centres 1, 2 and 3. The cost in Rs. of product per unit and capacity in kg per unit time of each plant is given below:
|Factory||Cost (Rs.) per unit||Capacity (kg) per unit|
The sale price in Rs. per unit and the demand in kg per unit time are as follows:
|Sales centre||Sale Price (Rs.) per unit||Demand (kg) per unit|
Required: Find the optimal sales distribution.
Step 1 → Formulating the given problem as a transportation problem. The profit matrix for various factories and sales counters is calculated below: