##### Solve the linear programming problem by the method of corners.

 Mathematics Tutor: None Selected Time limit: 1 Day

Solve the linear programming problem by the method of corners.

Find the minimum and maximum of P = 4x + 2y subject to
 3x + 5y ≥ 20 3x + y ≤ 16 −2x + y ≤ 4 x ≥ 0, y ≥ 0.

The minimum is P =  at

(xy) =
.

The maximum is P =  at
(xy) =
.
Jun 4th, 2015

3x+5y>=20------------(1)

-3x-y>=-16---------(2)

2x-y>=-4------------(3)

(1)+(2)

4y>=4

y>=1

y max=1

3x+5*1=20

x>=5

x max=5

p max=4*5+2*1

=22

p min=4*0+2*0

=0

Jun 4th, 2015

p max= 22

when x=5 and y=1

p min=0

when x=0 y=0

Jun 4th, 2015

Hi it marked that question wrong? is there another way to solve this?

Jun 4th, 2015

please wait for while i'll check...

Jun 4th, 2015

there is another method but it's long method ..........can you give me some time to provide the best answer for you?

Jun 4th, 2015

i'm working on question it may take few minutes

Jun 4th, 2015

That's perfect thank you so much ! :) I appreciate your help and will pay you for the next question i need help with :)

Jun 4th, 2015

p min=8

x=0 y=4

p max=27.2

x=12/5  and y=44/5

Jun 5th, 2015

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Jun 4th, 2015
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Jun 4th, 2015
Dec 3rd, 2016
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