Part $1(2$ points$)$

Sheldon $is$ the only landscaper $in$ town. $To$ keep things simple, $he$ only mows lawns. Assume $he$ has five possible customers with different willingness $to$ pay for a month $of$ lawn service $as$ depicted $in$ the table below.

$\begin{array}{cc}\text{C}\text{u}\text{s}\text{t}\text{o}\text{m}\text{e}\text{r}& \text{W}\text{i}\text{l}\text{l}\text{i}\text{n}\text{g}\text{n}\text{e}\text{s}\text{s}to\text{p}\text{a}\text{y}(WTP)\text{f}\text{o}\text{r}\text{a}\text{m}\text{o}\text{n}\text{t}\text{h}of\text{l}\text{a}\text{w}\text{n}\text{s}\text{e}\text{r}\text{v}\text{i}\text{c}\text{e}\\ 1& \text{\$}120\\ 2& \text{\$}100\\ 3& \text{\$}80\\ 5& \text{\$}60\\ 5& \text{\$}40\end{array}$

Suppose Sheldon has variable costs $of$ $$38$ per customer and fixed costs $of$ $$130.$ Sheldon must charge each customer the same price, $sohe$ needs $to$ decide whether $to$ charge $$120,$$$100,$$$80,$ etc.

$If$ Sheldon maximizes his profit, $he$ will earn $ $(if$ there are losses, include the negative sign$).$