A soft drink company has two bottling plants C1 and C2. Each plant produces three different soft drinks S1, S2 and S3. The production of the two plants in number of bottles per day are:
| Product |
Plant |
| C1 |
C2 |
| S1 |
3000 |
1000 |
| S2 |
1000 |
1000 |
| S3 |
2000 |
6000 |
A market survey indicates that during the month of April there will be a demand for 24000 bottles of S1, 16000 bottles of S2 and 48000 bottles of S3. The operating costs, per day, of running plants C1 and C2 are respectively Rs.600 and Rs.400. How many days should the firm run each plant in April so that the production cost is minimized while still meeting the market demand? Formulate the above as a linear programming model.
