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
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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