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


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