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 29 Linear Programming exercise Fill in the blanks question 8

Provide solution for RD sharma maths class 12 chapter 29 Linear Programming exercise Fill in the blanks question 8

Answers (1)

Maximum value=140

Hint:

Form the constraints coordinates (x,y)

Given:

The maximum value of z=3x+4y subject to constraints x+y\leq 40,x+2y\leq 60,x\leq 0,y\leq 0 is _____

Solution:

From the constraints

x+y\leq 40

  x+y= 40         … (i)

x  

0

40

y

40

0

x+2y\leq 60

x+2y= 60       …..ii

x  

0

60

y

30

0

Here,

\begin{aligned} &x+y=40 \\ &x=40-y \end{aligned}

Put x=40-y in (ii)

\begin{aligned} &40-y+2 y=60 \\ &40+y=60 \\ &y=20 \\ &\therefore x=20 \end{aligned}

Now,

\begin{aligned} &z=3 x+y \\ &A(20,20)=3(20)+4(20)=140 \\ &B(40,0)=3(40)+0=120 \\ &C(0,0)=0 \\ &D(0,30)=4(30)=120 \end{aligned}

Therefore, maximum value =140 at (20,20)

Posted by

Info Expert 29

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 board exams 2025 from February 15; Class 10, 12 subject-wise marks distribution
anam-khan

CBSE Date Sheet 2025: Class 10, 12 board exam dates soon on cbse.gov.in; previous trends, sample papers
anam-khan

CBSE Board Exams 2025: 75% attendance must for students to be eligible, reiterates board

Latest Question