Answer:
Model A=30, Model B: 20, Model C: 45
Step-by-step explanation:
Let x be the amount of type A mp3 produced, and the amount of model B mp3's produced and z the amount of model C mp3 produced.
Since in total there are 303 hours for electronics work, then:
Since in total there are 393 hours for assembly, then:
Since in total there are 416 hours for quality assurance, then:
Then, the linear system associated to the problem is
with coefficient matrix and vector of constant terms
Since the determinant of A is equal to 36.704 then A is invertible.
Then for solve the system , is enough find the inverse of A and operate
Using Octave we obtain that
Then
This means that 30 mp3's of model A, 20 of model B and 45 of model C must be produced