Explain solution RD Sharma class 12 chapter Linear Programming exercise 29.2 question 16 maths
Answer: The optimal value of 2 is 0
Hint: Plot the points on the graph
Given:
Solution: First, we will convert the given equation into equations, we obtain the following equations:
The following equations:
Region represented by . The line meets the coordinate axes at A (3,0) and B(0,1) respectively. By joining these points we obtain the line
Clearly (0,0) does not satisfy the equation ,so the region in the plane which does not contain the origin represents the solution set of the equation
Region represented by The line meets the coordinate axis at c (2,0) and D (0,2) respectively. By joining these points we obtain the line λ1+ λ2=2 clearly (0,0) does not satisfy the equation
.So the region containing origin represents the solution set of the equation.Region represented by since every point in the first quadrant satisfies these in equations ,so
the first quadrant is the region represented by the equation
The feasible region determined by the system of the constraints, and are as follows:
The correct points of the feasible region The values of 2 at these common points are as follows:
Common points | |
Therefore the minimum value of 2 is 0 at the point (9,0),Hence , is the optional value of 2 is 0