Rank of a Matrix - Graded Quiz

In the quiz, for 5th question, I am able to get the correct answer by substituting the options in the equations. But, when I do elimination method Iam unable to get the correct answer. I tried with Jupiter notebook and also not getting the correct answer

Question:

My solution using Jupiter but wrong answer:

Please anyone help me with this

Hi, your solution is correct. However, try to verify that the values of vector B are in agreement with the system.

But the cost cannot be negative right. See line number 63 of the solution. The three different answers are not matching with the options given in the quiz.

The answers in the quiz are : Fiber = $15 aluminium = $0 and Carbon Nanotubes = $5

But the solution that were obtained through numpy : Fiber = $-7.35 aluminium = $30.58 and Carbon Nanotubes = $6.1

Why those are contradictory?