[tex] \mathcal{ANSWER:} [/tex]
[tex] \boxed{\begin{array}{l} a.)\: \textsf{Php}\: 44,962.50 \\ b.)\:\textsf{Php}\:44,954.50 \end{array}} [/tex]
[tex] \mathcal{SOLUTION:} [/tex]
[tex] \begin{array}{l} \textsf{Given:}\: C(x) = 50x^2 - 100x + 45,000 \\ \\ \textsf{where:} \\ \begin{aligned} \quad x &=\textsf{percentage of pollutants to be removed} \\ &\quad \textsf{from the swimming pool and;} \\ C(x)&=\textsf{cost for removing}\:x\%\:\textsf{of pollutants} \end{aligned} \\ \\ a.)\: x = 50\% = 0.5 \\ \begin{aligned} \quad C(0.5) &= 50(0.5)^2 - 100(0.5) + 45,000 \\ C(0.5) &= \boxed{\textsf{Php}\: 44,962.50} \end{aligned}\\ \\ b.)\: x = 70\% = 0.7 \\ \begin{aligned} \quad C(0.7) &= 50(0.7)^2 - 100(0.7) + 45,000 \\ C(0.7) &= \boxed{\textsf{Php}\:44,954.50} \end{aligned} \end{array} [/tex]
[tex] \texttt \color{cyan} {\#CarryOnLearning} [/tex]
