A Carpenter manufactures tables and chairs. He has all the resources in abundance except wood and nails. The profitability and resource requirements for the two products are given in following table. The availability of resources per day is also given. How many tables and chairs he should manufacture daily so that his profit is maximized? Formulate the linear programme and solve that using graphical method.
| | Table | Chair | |
| Profit/unit-> | 20$ | 30$ | Availability/day v |
| | | | |
| Wood/unit in kg. | 40 | 30 | 1200 |
| Nails/unit in number | 25 | 40 | 1000 |
If the profit/unit on table increases and rest of the data remains same, find the increased value of profit/unit on table so that the optimum product mix doesn’t change.
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