CBSE Class 12 Math 2022 Term I Solved Paper

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Question : 11
Total: 50
A Linear Programming Problem is as follows:
Minimise z=2x+y
subject to the constraints x3,x9,y0
xy0,x+y14
The feasible region has
Explanation: On plotting the constraints x=3, x=9,x=y and x+y=14, we get the following graph. From the graph given below it clear that feasible region is ABCDEA, including corner points A(9,0),B(3,0),C(3,3),D(7,7) and E(9,5).
Thus feasible region has 5 corner points including (7,7) and (3,3).
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