Linear Programming by Graphing, Sensitivity Analysis on Constraints

After solving a linear programming problem by graphing, performing sensitivity analysis on the right-hand-side of a constraint and finding the range you are allowed to change the right-hand-side.

[thesnowrae]

thank you SO much I've been trying to do this homework for four days straight and I could not get what i needed from my professors lectures and lecture notes. Your video was right to the point.

[DrDsMathHelp]

We only used the one constraint we were talking about when adding the h. Then we set this equal to the other constraint to find the new optimal solution. This is the same procedure we used to find the original point, just with the h portion inserted. Since you have two coordinates for the point, x and y, and both have an h in them, we used the non negativity condition that says both are greater than or equal to 0 to find the range of h. H can be both positive or negative, since you can both raise or lower the 21 which is the right hand side of the constraint in question. Thus we need two inequalities on h, one to give its lowest value and one to give is
To highest value.

[eliasel]

You're such a great teacher! Thanks a lot!

[JUNIOR]

Thank you so much for the explanation my teacher never teach our class how to do it...just sent us to read some papers and that sucks. I think it is necessary for teachers to explain at least 1 problem just as you did and then let the students try it on their own.

[hmerhi]

Love your videos but is there a way of filming it so that we are able to see what you're writing on the board instead of having to see what you've written when you move away? Thanks

[yulongzheng]

I think just using non-negativity constraints is not enough, must include x<=4 as well. Once h become lesser than -3, x<=4 will become one of the new binding constraints, and changes the solution variable mix.

[thekishanpatel]

shouldn't we also apply the x <= 4 constraint when determining the range. Which would make the range [-1<= h <= 9]?

[kimbryanduenas]

Thank you very much but I have a question. Why did you made both h (from y and x) a range when they are different constraints?

[samte]

wow I learned something new! thanks for sharing and caring! <3

[adelle]

hello, i tried it and it only applies to the allowable increase according to the sensitivity analysis from excel solver, how come? 🥺

[teongjihperng]

so, which mean u are finding the allowable min and max?

[abikim]

thanx very much
it was very helpful
more than i could imagine ^^

[abikim]

but what if its the opposite
have the new X, Y
and the graph
but i dont know any thing else

is it a correct question ?

[jackli]

is that possible to change both x and y value?