+91-8076753736 support@wiredfaculty.com
logo
logo

Sponsor Area

Linear Programming

Question
CBSEENMA12036206
Wired Faculty App

The function straight f left parenthesis straight x right parenthesis space equals straight x over 2 space plus 2 over straight x has a local minimum at

  • x = 2

  • x = −2

  • x = 0

  • x=1

Solution

A.

x = 2

straight x over 2 space plus 2 over straight x space space is space of space the space form space straight x plus 1 over straight x greater or equal than 2& equality holds for x = 1

Some More Questions From Linear Programming Chapter

Solve the following Linear Programming Problems graphically:
Maximise    Z = 3x + 2y
subject to the constraints: x + 2y ≤ 10, 3x + y ≤ 15, x, y ≥ 0, 

Maximize z = 4x + 1y such that x + 2y ≤ 20, x + y ≤ 15, x ≥ 0, y ≥ 0.

Minimize z = 2x + 3y, such that 1 ≤ x + 2y ≤ 10, x ≥ 0, y ≥ 0.

Solve the following linear programming problem graphically:
Minimise Z = 200x + 500y
subject to the constraints x + 2y ≥ 10, 3x + 4 y ≤ 24,  x ≥ 0, y ≥ 0

Solve the following problem graphically:
Minimise and Maximise Z = 3x + 9y
subject to the constraints:
x + 3y ≤ 60
x + y ≥ 10
x ≤ y
x ≥ 0, y ≥ 0

Show that the minimum of Z occurs at more than two points.
Minimise and Maximise Z = 5x + 10y subject to constraints x + 2y ≤ 120,  x + y ≥ 60, x - 2 y ≥ 0, x, y ≥ 0.

Minimize z = 5x + 7y such that 2x + y ≥ 8, x + 2y ≥ 10, x, y ≥ 0.

Show that the minimum of Z occurs at more than two points. 
Minimise and Maximise Z = x + 2y subject to constraints x + 2y ≥ 100, 2x - y ≤ 0, 2x + y ≤ 200, x, y ≥ 0

 

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation