Home
Class 12
MATHS
(a)Maximise z = 4x + y subject to cons...

(a)Maximise z = 4x + y
subject to constraints :
x + y `le` 50
3x + y `le ` 90
x `ge ` 0
y `ge` 0
by graphical method.
(b) Find the value of K, if f(x) = `{{:(Kx + 1, "if"x le pi),(cos x, "if " x gt pi):}` is continuous at x = `pi`.

Text Solution

Verified by Experts

The correct Answer is:
Maximum of Z = 120 at (30, 0)
Promotional Banner

Topper's Solved these Questions

  • II PUC MATHEMATICS ANNUAL EXAM QUESTION PAPER MARCH - 2020

    SUNSTAR PUBLICATION|Exercise PART - D|10 Videos
  • II PUC MATHEMATICS ANNUAL EXAM QUESTION PAPER JULY -2018

    SUNSTAR PUBLICATION|Exercise PART-E|4 Videos
  • II PUC MATHEMATICS ANNUAL EXAM QUESTION PAPER MARCH -2018

    SUNSTAR PUBLICATION|Exercise PART-E|4 Videos

Similar Questions

Explore conceptually related problems

Find the value of k if f(x)={{:(kx+1," if "x le 5),(3x-1," if "x gt 5):} is continuous at x=5.

Find the value of K, if f(x)={{:(,Kx^(2),"if "x le 2),(,3,"if "x gt 2):}

Maximize Z = 5x + 3y, subject to constraints are 3x + 5y le 15 , 5x + 2y le 10 , x ge 0 " and " y ge 0 .

Minimize z=-3x+4u subject to the constraints x+2y le 8 3x+2y le 12 x ge 0, y ge 0 by graphical method.

Maximize Z = x + y, subject to constraints are x - y le - 1, - x + y le 0 " and " x, y ge 0 .

Maximize Z = 3x + 5y, subject to constraints are x + 3y le 3, x + y le 2 " and " x ,y ge 0 .

Maximize Z = 3x + 2y, subject to constraints are x + 2y le 10, 3x + y le 15, " and " x , y ge 0 .

Maximize Z = 3x + 4y , subject to the constraints are x + y le 4, x ge 0 " and " y ge 0 .