CBSE Class 12-science Answered
Let x and y be the numbers of first class tickets and economy class tickets respectively we have the following LPP
Maximum 400x + 300y
st x + y 200
x 0, y 0
Let us draw the graph of the above LPP
Thus, the feasible region is ABC and the corner points are A(20,180), B(40,160) and C(20,80)
The value of the objective function at the corner points are:
The maximum of the objective function is 64000 and it attains at A(40,160).
That is 40 first class tickets and 160 economy class tickets must be sold to get the maximum profit.
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