A furniture trader deals in only two items - chairs and tables. He has rupees 50,000 to invest and a space to store at most 35 items. A chair costs him rupees 1,000 and a table costs him rupees 2,000. The trader earns a profit of rupees 150 and rupees 250 on a chair and table, respectively. Formulate the above problem as an LPP to maximise the profit and solve it graphically.
For maximum value of profit check at corner point
Value of P at (0, 25) = Rs 6250
Value of P at (20, 15) = Rs 6750 (Max)
Value of P at (35,, 0) = Rs 5250
Hence the maximum value of profit P is Rs 6750 at x(Number of chairs) =20 and y (Number of Tables) = 15.