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.
Let the number of tables and chairs be x and y respectively.
Therefore
Now the maximum number of pieces he can store = 60.
Therefore , …….(1)
Also it is given that maximum amount he can invest = 30000
Therefore , …… (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