Need help with b (LP)

[ivory leaf]

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[patent mural]

consider the process of solving the LP (simplex method?) but with the added assumption that you must get the given optimiser (6,8)

[meager robin]

Do i rewrite it to z-6c1=80?

[patent mural]

sub in the c2 only

then solve the programme with whatever method you're taught

but you already know the end result

[subtle spade]

Hm

This is rather easy

[meager robin]

We were only taught to use parallel iso-lines until you get one that intersects the constraint lines once so im not sure how to use that here

[patent mural]

have you already been told that optimisers occur only at vertices?

[meager robin]

Yes

But we only had to use the corner points so far

[patent mural]

you said you did a so I assume you can draw this

[meager robin]

Yes

Ive drawn them

[patent mural]

now set c2 = 10

you have a line

that intersects the feasible region

[meager robin]

z=c1x1+10x2?

[patent mural]

and then figure out what you have to choose as c1 for the optimiser to be exactly at (6,8)

the objective function is some c1x1 + 10x2

it's a line

[meager robin]

But c1x1+10x2 = what

Oh just

[patent mural]

whatever you set it equal to determines a line

but not all of the lines are of interest

only those that intersect with the feasible region

[meager robin]

But you have 3 variables right

[subtle spade]

YES

How do I draw such a line

[meager robin]

@patent mural

[meager robin]

I got it @patent mural