A Carpenter manufactures tables and chairs. He has all the resources in abundance except wood, a type of chemical 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. Assume that fraction values for number of tables and chairs are acceptable.
| | Table | Chair | |
| Profit/unit-> | 20$ | 30$ | Availability/day |
| | | | |
| Wood/unit in kg. | 40 | 30 | 1200 |
| Nails/unit in number | 25 | 40 | 1000 |
| Chemical in ml/unit | 30 | 45 | 1600 |
One of the above mentioned resources is not limiting the solution. Identify that.
The availability of this resource starts decreasing. What is the minimal availability for this resource that ensures it to remain a non-limiting factor?
The availability is further reduced below this point by 100 units. Will the optimum solution change? If yes, what is/are the changed optimum solution/s?
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