Solving equation that should be simple but is not?

[loopfish]

Hello,

I have been trying for a long time to solve the following equation with out and luck at all. Please help me.


M = (D * (x/N)) + (C * x)

I am trying to solve this for x.


Thanks


Dave C

[Active]

M = (D * (x/N)) + (C * x)

M = x (D/N + C)

x = MN/(D+CN)

What is M ? N? C? D ?

[loopfish]

Thank you very mucholy...

The function I gave you is used to calculate total cost of a product to charge the customer including delivery..

Total = (DeliveryCharge * (Units / ChPerUnits)) + (UnitCost + Units)

ChPerUnits is : Apply delivery charge for every Units Units.

We are setting max transactions for our merchant so needed to calculate Given a Total how many units of a product could be sold in a single transaction.

Thanks Again.

Dave C

[[Digital-X-Treme]]

Originally posted by Active.
M = (D * (x/N)) + (C * x)
M = x (D/N + C)
x = MN/(D+CN)

This is what i got, without the extra N.
M = (D * (x/N)) + (C * x)
M = x (D/N + C)
x = MN/(D+C)

I'm not nit-picking Active! Just pointing this out cus the dude says he was using it for customer billing etc, just wanted to clarify it and make sure he got it right.

Laterz

[loopfish]

Digital-X-Treme I'm not the expert but I can prove an equation and your version of Active's function does not work.

For example...
M = (D * (x/N)) + (C * x)
1095 = (5 *(30/10))+(36*30)

So x = 30 (number of units) and the Total M = 1095

Given Active's formula...

x = MN/(D+CN)
=(1095 * 10) / (5 + (36*10)
= 10950 / 365
x = 30

But with your's
x = MN/(D+C)
= (1095*10) / (5+36)
= 10950 / 41
x (is not)= 267.073170731707317073170731707317


Thanks all the same but I think I will use Active's one. Perhaps I put you wrong because In my message of thanks to Active I made a typo in the formula.

> Total = (DeliveryCharge * (Units / ChPerUnits)) + (UnitCost + Units)

Should have been ...+ (UnitCost * Units)


Dave C

[Active]

Originally posted by [Digital-X-Treme]
This is what i got, without the extra N.
M = (D * (x/N)) + (C * x)
M = x (D/N + C)
x = MN/(D+C)

I'm not nit-picking Active! Just pointing this out cus the dude says he was using it for customer billing etc, just wanted to clarify it and make sure he got it right.

Laterz

How will you simplify (D/N) + C ??

(D/N) + C = (D+CN)/N

Ok...If you don't get it...Step by step..

M = (D * (x/N)) + (C * x)

M = x (D/N + C) 'Taking out common x

M = x(D+CN)/N

MN = x(D+CN)

there fore x = MN/(D+CN)

Get it ???

[[Digital-X-Treme]]

I apologise to Loopfish and Active I made a mistake when i was re-arranging at the following point...

m = dx/n+cx
mn = dx+cnx

...when multiplying both sides by x here, i forgot to multiply the c term by n, resulting in the missing n from the final answer...

Laterz

[Active]

To err is human.

No one is perfect ! so cheer up !