Question $261$ pts Using the center for gravity method, determine the optimal

x

$-$coordinate for a single facility location to serve the following $5$ sites $($R$1-5)$ with the following given coordinates and daily demands.

x

$$

$=[]$

$\backslash [\backslash$begin$\{$array$\}\{$llll$\}$ F & X & Y & W $\backslash \backslash \backslash$text $\{$ R$1\}$ & $8$ & $7$ & $100\backslash$end$\{$array$\}\backslash ]$

R

$$

$2$

$$

$4$

$$

$220$

$$

R$3$

$6880$

$\backslash [\backslash$text $\{$ R$4\}4\backslash$quad $7\backslash$quad $180\backslash ]\backslash [\backslash$text $\{$ R$5\}12\backslash$quad $15\backslash$quad $350\backslash ]$