Need solution for RD Sharma maths class 12 chapter Linear Programming exercise 29.2 question 23
Answer: min value of Z is and max value is
Hint: plot the points on the graph
Given: maximize and minimize
Solution: first, we willconvert the given equations into equations we obtain the following equation;
The line meets the coordinates axis at A(0, 0) and B(0, 2). Join the points to obtain the line .clearly (0, 0) does not satisfy the equation so the region in x-y plane that does not contain the origin represents the solution of the given equation.
The line meets the coordinates axis at E (8, 0) and F (0, 6). Join these points to obtain the line . Clearly (0, 0) satisfies the equation . So the region in uy plane that contains the origin represents the solution set of the given equation.
The line meets the coordinates at n(-2, 0) and H(0, 3). Join these points to obtain the line . Clearly (0,0) satisfies the equation . So the region in xy plane that contains the region represents the solution set for the given equation.
The line meets the coordinates axis at I(1, 0) and J(0, 5). Join these points to obtain the line . Clearly (0, 0) does not satisfy the equation
Corner points are
point | value |
Maximum value
Minimum value