Solve the following L.P.P graphically Minimise and maximise z = 3x + 9y Subject to the constraints `x + 3y le 60` `x + y ge 10` `x le y` `x ge 0, y ge 0`
Topper's Solved these Questions
SOLVED PAPER MARCH - 2018
OSWAAL PUBLICATION|Exercise PART - D|9 Videos
RELATIONS & FUNCTIONS
OSWAAL PUBLICATION|Exercise BINARY OPERATIONS (Long Answer Type Questions )|1 Videos
SOLVED PAPER ( Topper Answers March - 2015 )
OSWAAL PUBLICATION|Exercise PART - E|4 Videos
Similar Questions
Explore conceptually related problems
Solve the following problem graphically Minimise and Maximise z=3x+9y Subject to the constraints: x+3y le 60, x+y ge 10, x le y x ge 0, y ge 0
Minimise and Maximise Z = x + 2y, subject to constraints are x + 2y ge 100, 2x - y le 0, 2x + y le 200 " and " x,y ge 0 .
Solve the following problem graphically: Maximum and minimize Z=10500x+9000y Subject to the constraints x+y le 50 2x+y le 80 x ge 0, y ge 0
Maximize Z = 3x + 4y , subject to the constraints are x + y le 4, x ge 0 " and " y ge 0 .
For the LPP, maximize z = x + 4y subject to the constraints x + 2y le 2, x +2y ge 8, x, y ge 0 .
Maximize and Minimize Z = 5x + 10y , subject to constraints are x + 2y le 120 , x + y ge 60, x - 2y ge 0 " and " x, y ge 0 .
Maximize Z = 5x + 3y, subject to constraints are 3x + 5y le 15 , 5x + 2y le 10 , x ge 0 " and " y ge 0 .
Maximize Z = x + y, subject to constraints are x - y le - 1, - x + y le 0 " 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 .
Minimize and Maximize Z = 3x + 9y subject to the constraints x+3ylt=60 x+y gt=10 xlt=y x gt= 0 , y gt= 0 by the graphical method .
OSWAAL PUBLICATION-SOLVED PAPER MARCH - 2018-PART - E