Can you show your attempts so far at manipulating the terms to arrive at the solution? Perhaps we can spot where things went wrong.
Hey!
I guess these problems that bother me are rather simple to you. Hopefully I can get these fundamental algebraic problems out of my way, with a little bit of help by you.
First of, I'm solving a problem concerning Edgeworths box ( Yea I know, completely worthless in real life).
The thing is the following, I have the following equation that I'm supposed to solve for Y1:
(3Y1/X1) = (Ny - Y1) / (Nx - X1)
The answer is supposed to be: Y1(X1) = NyX1/(3Nx-2X1)
I can see NyX1, but where did Y1 go?
I can see 3Nx, but where did 2X1 come from?
Secondly I have the following problem in a MRS equation;
Q(L,K) = 12L^(1/3)K^(1/2) = Q
L = 4,5K
Solve for K.
The answer is supposed to be:K = Q^(6/5)/36
I'm thankful for answers.
W.R
/ Duke
Thank you!
Yes sure. Regarding the first problem, when I'm supposed to solve for Y1:
To get Y1 alone on the lefthand side I move X1 up to the numerator on the righthand side, getting (Ny - Y1)*X1. Then, the same procedure for the numerator on the lefthand side, 3, moving it down to the denominator on the right hand side, getting (Nx-X1)*3.
So, Y1 = (NyX1 - Y1X1) / (3Nx - 3X1)
Here I get stuck. I don't now what to do with "Y1X1" and "3X1".
Regarding the second problem I use L = 4,5K so I don't fool around with two unknowns, implying = 12*(4,5*K)^(1/3)K^(1/2)
--› Q=19.812K^(1/3)K^(1/2)
--› Q=19.812K^(5/6)
--› Q^(6/5)=36K
--› Q^(6/5)/36 = K
--› BOOM! I solved it!
But, the first question is still a mystery
Thankful for help,
With regards,
Duke
I assume the 1 , 2, and lower case x and y are subscripts ...(3Y1/X1) = (Ny - Y1) / (Nx - X1)
cross multiply ...
since you're solving for , get all the terms with as a factor on the same side of the equation ...
factor out from each term on the left side ...
combine like terms ...
divide to isolate ...