find optimization equation, given feasibility region

N

Navyguy

Junior Member
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Jul 24, 2006
Messages
71
The feasible region of a maximization problem is determined by:

. . .12x+5y <= 180
. . .5x+4y <= 98
. . .x >= 0
. . .y >= 0

My answer is z = 32x + 16y. Is this right? Thank you for checking my answer.
 
Re: feasible region problem

Hello, Navyguy!

I don't understand the problem . . . do you?

The feasible region of a maximization problem is determined by:

. . . \(\displaystyle \begin{Bmatrix}12x\,+\,5y \:\leq \:180 \\
5x\,+\,4y\:\leq \:98 \\
x\:\geq\:0 \\
y\:\geq\:0\end{Bmatrix}\)

My answer is \(\displaystyle z\:=\:32x\,+\,16y\;\;\) . . . What was the question?
Click to expand...

We can't just make up a function to be maximized.

If they want to see the region, here it is:
Code: 
        |
      36*
        | *
        |   *
   24.5 o     *
        |:::*   *
        |:::::::* * (10,12)
        |:::::::::::o
        |:::::::::::::* *
        |:::::::::::::::*   *
        |:::::::::::::::::*     *
        |:::::::::::::::::::*       *
        |:::::::::::::::::::::*         *
      --o-----------------------o-----------*----
        |                      15          19.6
 
more info, sorry about that

I forgot this info,
WHich of the following objective functions has its maximum value at (0,24.5).

z=26x+20y
z=32x+16y
z=20x+25y
z=24x+8y I hope this helps. Thanks for checking the first time. Again I'm sorry for the missed info.
 
How are you obtaining your answers? (It will be much easier to check your work if you post your work.)

Thank you.

Eliz.
 
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