Question 2 It is assumed that there is a connection between X and Y variables in the form Y = aX³ + bx + c and that the sum of the coefficients a, b and c, which cannot take negative values in this connection, is 1. Write the linear programming problem that can perform the necessary operations to calculate the coefficients a, b and c in such a way as to minimize the sum of the absolute values of the errors between the measurements listed below and the predictions to be calculated with the formula above. NXY 1211 2332 315 4328 529

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.5: Shortest Path Models
Problem 30P
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Question 2
It is assumed that there is a connection
between X and Y variables in the form Y = aX³ + bx + c and
that the sum of the coefficients a, b and c, which cannot take
negative values in this connection, is 1. Write the linear
programming problem that can perform the necessary
operations to calculate the coefficients a, b and c in such a way
as to minimize the sum of the absolute values of the errors
between the measurements listed below and the predictions to
be calculated with the formula above.
NXY
1211
2332
315
4328
529
Transcribed Image Text:Question 2 It is assumed that there is a connection between X and Y variables in the form Y = aX³ + bx + c and that the sum of the coefficients a, b and c, which cannot take negative values in this connection, is 1. Write the linear programming problem that can perform the necessary operations to calculate the coefficients a, b and c in such a way as to minimize the sum of the absolute values of the errors between the measurements listed below and the predictions to be calculated with the formula above. NXY 1211 2332 315 4328 529
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