Question

A furniture dealer deals in only two items : tables and chairs. He has 30000 to invest and a space to store at most 60 pieces. A table costs him 1500 and a chair 300. Formulate the data in the form of inequations and draw a graph representing the solution of these inequation.

Answer 1

Let the number of tables and chairs be x and y respectively. 

Therefore x \(\ge\)0, y \(\ge\) 0

Now the maximum number of pieces he can store = 60. 

Therefore,  x + y \(\le\) 60…….(1) 

Also it is given that maximum amount he can invest = 30000 

Therefore, 1500 x + 300y \(\le\) 30000 …… (2)

Therefore , the shaded protion (i.e. A) together with its boundary represents the solution set of the given inequation. 

No. of tables = x = 10 

No. of chair = y = 50