Go To Your Study Dashboard

Get Answers to all your Questions

header-bg

Need solution for RD sharma maths class 12 chapter 29 Linear Programming exercise Fill in the blanks question 10

Answers (1)

$z_{min}=-160$ at (0,20)

Hint:

Draw the graph from the constraints

Given:

The coordinates of the point for minimum value of $z=7x-8y$ subject to the conditions $x+y\leq 20$ , $y\leq 5$ , $x\geq 0$ , $y\geq 0$ are ______

From the given constraints

$x+y=20\\ (20,0),(0,20)$ and $y=5$
$\begin{aligned} &z_{\min }=7(0)-8(5) \\ &=-40 \\ \end{aligned}$

$\begin{aligned} &z_{\min }=7(0)-8(20) \\ &=-160 \\ \end{aligned}$

As $\begin{aligned} -160<-40 \\ \end{aligned}$

$\begin{aligned} &Z_{\min }=-160 \end{aligned}$ at $(,0,20)$

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

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14

anam-khan

CBSE Board Exams 2025: Online portal for availing exemptions by CWSN students opens

anam-khan

Board Exams: States agree to equivalence; no question paper ‘jumbling’ from next year, says PARAKH CEO

Latest Question