MAXIMISATION PROBLEMS [Not Involving Looping]
Problem 5.42
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 |
| A | 12 | 100 |
| B | 15 | 20 |
| C | 11 | 60 |
| D | 13 | 80 |
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 |
| 1 | 15 | 120 |
| 2 | 14 | 140 |
| 3 | 16 | 60 |
Required: Find the optimal sales distribution.
Solution
Step 1 → Formulating the given problem as a transportation problem. The profit matrix for various factories and sales counters is calculated below:
Step ...
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