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 22

Provide solution for RD Sharma maths class 12 chapter Linear Programming exercise 29.2 question 22

Answers (1)

best_answer

Answer: the optimal value of ? is 13

Hint: plot the points on the graph

Given: to prove and to minimize 3x+2y

Solution: first, we will convert the given equations into equations, we obtain the following equations; 5 \lambda+y=10, \lambda+y=6, \lambda+4 y=12, \lambda=0, y=0 .

Region represented by 5 \lambda+y \geq 10 . The line 5 \lambda+y=10   meets the coordinates axes at A(2, 0) and B(0, 10) respectively. By joining these points we obtain line 5 \lambda+y \geq 10

Clearly (0, 0) does not satisfies the equation 5 \lambda+y \geq 10

Region represented by \lambda+y \geq 6 . The line  \lambda+y=6  meets the coordinates axes at C(6,0) and D(0, 6) respectively. by joining these points we obtain the line 2 \lambda+3 y=30   clearly (0, 0) does not satisfy the equation \lambda+y \geq 6 .  . So the region which does not contain the origin represents the solution set of the equation 2 \lambda+3 \geq 30

Region represented by \lambda+4 y \geq 12 , the line \lambda+4 y=12  meets the coordinates axes at E(12, 0) and F(0, 3) respectively. by joining these points we obtain the line.

\lambda+4 y=12, \mathrm{cl} , clearly (0,0) does not contain the origin represents the solution set of equation \lambda+4 y \geq 12

Region represented by \lambda \geq 0 \text { and } y \geq 0. Since, every point is the first quadrant satisfies these inequalitions. So the first quadrant is the region represented by the equations \lambda \geq 0 \text { and } y \geq 0. The feasible region determined by the system of constraints 5 \lambda+y=10, \lambda+y=6, \lambda+4 y=12, \lambda=0, y=0

Therefore the minimum value of z is 13 at the point c(1, 5). Hence x=1 and  y=5 is the optimal solution of the given LPP. Thus the optimal value of Z is 13

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