A Furniture dealer deals in only two items, table and chair. He has Rs. 5000 to invest and a space to store at most 60 pieces. A table costs him Rs. 250 and a chair Rs. 50. He can sell a table at a profit of Rs. 50 and a chair at a profit of Rs. 15. Assume that, he can sell all the items that he produced. The number of constraints in the problem is

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Question: A Furniture dealer deals in only two items, table and chair. He has Rs. 5000 to invest and a space to store at most 60 pieces. A table costs him Rs. 250 and a chair Rs. 50. He can sell a table at a profit of Rs. 50 and a chair at a profit of Rs. 15. Assume that, he can sell all the items that he produced. The number of constraints in the problem is

Answer: 4 constraints 

Let the no. of tables =x and the no. of chairs = y

250x + 60y ≤ 500                ....... (1) 

x + y ≤ 60                            ........ (2) 

x ≥ 0                           ......... (3) 

y ≥ 0                           ........ (4) 


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