Need solution for RD Sharma maths class 12 chapter Linear Programming exercise 29.2 question 3
Answer:
Thus the optimal value of z is 134.
Hint:
Plot the points on the graph.
Given:
Solution:
First, we will convert the given in equations into equations, we obtain the following equations
and
Region presented by . The line meets the coordinate axes at and respectively. By joining these points are obtain the line . Clearly, does not satisfies the equation . So, the region in xy plane which does not contain the origin represents the solution set of the equation
Region presented by . The line meets the coordinate axes at and respectively. By joining these points are obtain the line Clearly, does not satisfies the equation . So, the region in xy plane which does not contain the origin represents the solution set of the equation
Region presented by and . Since the every point in the first quadrant satisfies these equations. Som the first quadrant is the region represented by the equations and
The feasible region determined by the system of constraints,
and are as follows
The corner points of the feasible region are
The value of z at these corner points are as follows
The maximum value of z is 134 at the point . Hence, and is the optimal solution of the given LPP.
Thus, the optimal of z is 134.