# Thread: Minimizing Function

1. ## Minimizing Function

Hi All,

I hope someone can help me with the following function (follow the link): https://we.tl/c3IY2goPE0

I'm trying to minimize a function, existing of some different parameters. All parameters are known(exept for R) and variable and the goal is to find the variable R that minimizes the result.
The function exists out of the sum of 4 parts.
The things I've already learned about the function is

1. that only the following variables influence the result:

M, Q, C, P, H, D.

2. Minimizing the first, second and last part is done by the formula: (M*D)/((M*D)+(H*Q)). So taking into account the third part is too hard for me.

3. The result has to be the CDF of the normal distribution ( a number between 0 and lower than 1). With this number and the known standard deviation and mean, I can find the optimal R.
The italic normal distribution sign is the PMf and the non italic normal distribution sign is the CDF.

4. A number example is the following:

M : 10
H: 7
D: 1250
Q : 200
L: 150
S: 65
P: 0.75
C: 75
K: 5

R optimal is here R = 243 and the related z-value is 1.43 from which the CDF is 92,98%.
The formula has thus give the solution 0.9298 with given variables.

Steven

2. Originally Posted by Polly1988
Hi All,

I hope someone can help me with the following function (follow the link): https://we.tl/c3IY2goPE0

I'm trying to minimize a function, existing of some different parameters. All parameters are known(exept for R) and variable and the goal is to find the variable R that minimizes the result.
The function exists out of the sum of 4 parts.
The things I've already learned about the function is

1. that only the following variables influence the result:

M, Q, C, P, H, D.

2. Minimizing the first, second and last part is done by the formula: (M*D)/((M*D)+(H*Q)). So taking into account the third part is too hard for me.

3. The result has to be the CDF of the normal distribution ( a number between 0 and lower than 1). With this number and the known standard deviation and mean, I can find the optimal R.
The italic normal distribution sign is the PMf and the non italic normal distribution sign is the CDF.

4. A number example is the following:

M : 10
H: 7
D: 1250
Q : 200
L: 150
S: 65
P: 0.75
C: 75
K: 5

R optimal is here R = 243 and the related z-value is 1.43 from which the CDF is 92,98%.
The formula has thus give the solution 0.9298 with given variables.

Steven

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