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A company sells two different products A and B. The products are produced in a common production process which has total capacity of 500 man hours. It takes 5 hours to produce a unit of A and 3 hours to produce a unit of B. The demand in the market shows that the maximum number of units of A that can sold is 70 and that of B is 125. Profit on each unit of A is Rs. 20 and on B is Rs.15. How many units of A and B should be produced to maximise the profit? Form an L.P.P and solve it graphically.

$\begin{array}{1 1} 1400 \\ 3950 \\ 2275 \\ 1875 \end{array} $

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Solution :
$x \leq 70$
$y \leq 125$
$x,y \leq 0$
$5x+3y \leq 500$
$z= 20x+15y$
Answer : 3950
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