A furniture dealer deals in only two items : tables and chairs . He has Rs. 15000 to invest and a space to store atmost 60 pieces . A table costs him Rs. 750 and a chair Rs.150 . Formulate the data in the form of inequations and draw a graph representing the solution of these inequations.

Let the number of   tables and chairs be x and y respectively .
$x\ge 0 ,y\ge 0$
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 = Rs 15000
$$\begin{gathered} \therefore 750x+150y\le 15000 \\ \Rightarrow 5x+y\le 100.......\left(2\right) \end{gathered}$$

Hence the shaded region together with its boundary represents the solution set of the given inequations.