Given below are price and cost figures for a monopolist:
$$
\begin{array}{|l|l|l|}
\hline \text { Quantity } & \text { Price } & \text { Total Cost } \\
\hline 0 & 200 & 145 \\
\hline 1 & 180 & 175 \\
\hline 2 & 160 & 200 \\
\hline 3 & 140 & 220 \\
\hline 4 & 120 & 250 \\
\hline 5 & 100 & 300 \\
\hline 6 & 80 & 370 \\
\hline 7 & 60 & 460 \\
\hline 8 & 40 & 570 \\
\hline
\end{array}
$$
a) Find the Total Revenue, Marginal Revenue, and Marginal cost columns. Where
is profit maximized?
b) How will a tax of \(\$ 100\) per day affect profit maximization?