Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Provide solution for RD Sharma maths class 12 chapter Linear Programming exercise 29.2 question 26

Provide solution for RD Sharma maths class 12 chapter Linear Programming exercise 29.2 question 26

Answers (1)

best_answer

Answer: the maximum value if ? is 10

Hint: plot the points on the graph

Given: maximize: Z=2 x+5 y

Solution: the given constraints are

                \begin{aligned} &2 x+4 y \leq 8----(1) x+y \leq 4--(3) \\ &3 x+y \leq 6----(2) x \geq 0, y \geq 0 \end{aligned}

We need to maximize the objective function Z=2 x+5 y  . Converting the equations into equations, we obtain the lines 2 x+4 y=8,3 x+y=6, x+y=4, x=0, y=0

These lines are drawn and the feasible region of the LPP is shaded.

The coordinates of the corner points of the feasible regions are

                O(0,0), A(0,2), B(1.6,1.2), C(2,0)

The values of the objects function at the points are given in the following table;

\begin{array}{|l|l|} \hline \text { Points } & \text { Values of the objective function } z=2 x+5 y \\ \hline O(0,0) & 2(0)+5(0)=0 \\ A(0,2) & 2(0)+5(2)=10 \\ B(1.6,1.2) & 2(1.6)+5(1.2)=9.2 \\ C(2,0) & 2(2)+5(0)=4 \\ \hline \end{array}

Out of these values of Z, the maximum value of Z is 10

Posted by

infoexpert26

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 12 result verification 2024 application out at cbse.gov.in; last date, fees
anam-khan

CBSE results 2024 later for 102 students over fake certificates; board issues show cause notice
anam-khan

What after CBSE Class 12 results 2024? From CUET UG to JEE Advanced, all you need to know

Latest Question