9514 1404 393
Answer:
(c, p, b) = (3, 5, 4)
Step-by-step explanation:
A matrix solver is useful for this purpose. Most graphing calculators will do this, as will a number of web sites. Attached is the output from math software that also solves the matrix equation easily.
The solution is (c, p, b) = (3, 5, 4).
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The augmented matrix for the given set of equations is ...
[tex]\left[\begin{array}{ccc|c}2&4&2&34\\1&3&1&22\\3&0&2&17\end{array}\right][/tex]