Answer
$Z'(m)=\frac{-C_1}{m^2}+\frac{DC_3}{2}$
Work Step by Step
The total monthly cost of program, $Z(m)=\frac{C_1}{m}+DtC_2+DC_3(\frac{m-1}{2})$
Differentiating it with respect to $m$ we get,
$Z'(m)=\frac{-C_1}{m^2}+\frac{DC_3}{2}$
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