CBSE Class 12-science Answered
Minimize Z = 2x+3y,subject to the constraints x?0,y?0,x+2y ?1 and x+2y?10
The answer given in the book is :Minimum Z = 3/2 at(0,1/2)
Asked by Manoj | 20 Jun, 2013, 12:08: PM
Expert Answer
if you draw a graph for the given 4 constraint equation -- x?0,y?0,x+2y ?1 and x+2y?10 and identify the polygon enclosed by the equations, you will find that its is a quadrilateral, with A(1,0); B(10,0); C(0,5); D(0,1/2)
Now since its an enclosed area, the minimum value of Z should be at one of the vertices.
hence, at A(1,0); Z = 2(1) + 3(0) = 2
at B(10,0); Z = 2(10) + 3(0) = 20
at C(0,5); Z = 2(0) + 3(5) = 15
at D(0,1/2); Z = 2(0) + 3(1/2) = 3/2
So, the minimum value of Z is at C(0,1/2) and the value is 3/2.
Answered by | 23 Jun, 2013, 07:39: AM
Concept Videos
CBSE 12-science - Maths
Asked by gargisha381 | 26 May, 2022, 12:24: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by ABHILASHA | 20 Apr, 2021, 12:07: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Sunita | 27 Oct, 2020, 12:07: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 01 Sep, 2014, 01:19: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 29 Jul, 2016, 10:09: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 01 Sep, 2014, 02:00: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 01 Sep, 2014, 02:43: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 01 Sep, 2014, 02:46: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 29 Jul, 2016, 09:56: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 18 Sep, 2014, 02:12: PM
ANSWERED BY EXPERT