Maximise profit knowing manufacturing data

[prehisto]

Homework Statement

Hi, this is my data and problem.
http://[ATTACH=full]200209[/ATTACH] [ATTACH=full]200210[/ATTACH]

[h2]Homework Equations[/h2][h2]The Attempt at a Solution[/h2]
So I am thinking that I can use system of equation to get the number of tables and closets for given resources.
0,2x+0,1y=40
0,1x+0,3y=60
1,2x+1,5y=371,4
But this does not include that profit from closets are bigger than from tables.. how can i include that?

 

[prehisto]

I have another Idea , maybe I can solve ir using Simplex method.
0,2x+0,1y<=40
0,1x+0,3y<=60
1,2x+1,5y<=371,4

and maximize 6x+8y ?

 

[Ray Vickson]

I have another Idea , maybe I can solve ir using Simplex method.
0,2x+0,1y<=40
0,1x+0,3y<=60
1,2x+1,5y<=371,4

and maximize 6x+8y ?

Yes, but do not forget the conditions x>=0, y>=0. Also, it has only 2 variables, so can be solved graphically.

 

[prehisto]

Yes, but do not forget the conditions x>=0, y>=0. Also, it has only 2 variables, so can be solved graphically.

Thanks .
it seems that graphically is not such a good idea because of the scale of graphs.
Although it seems that it will be nasty, I will try to do it numerically by pivot point method ( if it is the correct notation).

 

[Ray Vickson]

Thanks .
it seems that graphically is not such a good idea because of the scale of graphs.
Although it seems that it will be nasty, I will try to do it numerically by pivot point method ( if it is the correct notation).

The graphical method works perfectly well when used as intended: it gives you the information about which two of the five inequalities are equalities at the optimum. Then you have two equations in two unknowns to solve, and doing that gives the exact solution. (The 5 inequalities are the 3 functional inequalities and the two non-negativity conditions.)