Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Solve the following Linear Programming Problems graphically; Z = 3x + 4y

1.    Solve the following Linear Programming Problems graphically:

          Maximise  Z = 3x + 4y 

         Subject to the constraints  x+y\leq 4,x\geq 0,y\geq 0.

         Show that the minimum of Z occurs at more than two points.

Answers (1)

best_answer

The region determined by constraints, x+y\leq 4,x\geq 0,y\geq 0. is as follows,

Chapter 12 Linear Programming Question 1

The region A0B represents the feasible region

The corner points of the feasible region are B(4,0),C(0,0),D(0,4)

Maximise  Z = 3x + 4y

 The value of these points at these corner points are : 

Corner points            Z = 3x + 4y  

        B(4,0)

               12  
       C(0,0)              0  
        D(0,4)                16 maximum

The maximum value of Z is 16  at D(0,4)

Posted by

seema garhwal

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 Date Sheet 2025 (Out) Live: Class 10, 12 board exam time table at cbse.gov.in; syllabus, sample papers
anam-khan

CBSE Class 12 board exam date sheet 2025 out; exams from February 15 to April 4
anam-khan

When will CBSE Board exam 2025 date sheet be released for Class 10, 12?

Latest Question