If pq + qr + rp = 20 (correct so far) you need to divide by three for the average.

Bob

]]>The expression can be expanded easily at Wolfram alpha. Go here:

and enter in the input box,

(2/5 + x/4 + (15 x^2)/100 + x^3/10 + x^4/20 + x^5/20)^6

]]>Welcome to the forum.

The x-y system of coordinates was invented by the mathematician Descartes.

http://mathworld.wolfram.com/CartesianCoordinates.html

But you don't have to use x and y at all. For example to draw a graph of velocity changes with time, you might have 't' across and 'v' up.

You'll find more about coordinates at

http://www.mathsisfun.com/data/cartesia … nates.html

Bob

]]>This is definitely not the case in the diagram above (there are infinitely many non-straight lines, where each one of them has length X=1).

So, I still do not understand how 2*(a+b+c+d+...)=X by your string of notations.

Moreover, if length X=1 is defined in terms of the set of all **R** members in [0,1], and [0,1] is invariant (exactly as X=1 is invariant in the diagram above), then how exactly |**R**| is collapsed into cardinality 1 (which is the cardinality of the set with a single member (the vertex at the bottom of the big triangle))?

Yes, those answers look good to me.

Bob

]]>I want to show that:

That's what I have tried:

When

, it means that:So that

So,

.Is it right so far? Also, how can I show that

?]]>I am forced to agree, I think I misread the question. My answer is for forming one dance couple, which would make this a committee problem. Hopefully, 15 x 15 is correct then. Now back to reality...

The actual problem:

the number of ways of dividing

men and women into couples each consisting of a man and a woman is

looks like it says 15 couples which makes your solution correct. Wunderbar!

]]>http://www.zweigmedia.com/RealWorld/simplex.html

which gave b = 0, w = 350, m = 0 and e = 150.

How does that seem?

Bob

]]>I see you have become a member. Welcome.

I suggest you copy my post and re-post it back with your answers to the ???. Then I can see if you are doing it correctly.

I've not used Management Scientist but I looked it up and it should handle this problem. Have you managed to use it for a simpler linear programming problem?

If yes, then please post that one and your solution. Thanks.

What I am trying to find out is "What can you do already"? So far I am unclear about this.

Bob

]]>eliminating the parameter *t*.