Using the information in the table. Use the grid technique to determine the least$-$cost location of manufacturing or distribution facility between sources and markets. Find the horizontal and vertical coordinates of the Grid Center. Show the full steps here $($You can use Excel to validate the results but not need to submit the Excel file.$)$

a$.$

$\backslash$table$[[$Sources$/$Markets$,$Rate $$/$Ton$-$Mile,Tons,$\backslash$table$[[$Grid horizontal$],[$coordinates$]],\backslash$table$[[$Grid vertical$],[$coordinates$]]],[$Buffalo $S_1,$$$0\mathrm{.}81,600,700,1125],[$Memphis $S_2,$$$0\mathrm{.}73,400,250,600],[$St$.$ Louis $S_3,$$$0\mathrm{.}65,700,225,825],[$Atlanta $M_1,$$$1\mathrm{.}23,425,600,500],[$Boston $M_2,$$$1\mathrm{.}24,250,1050,1200]]$

b$.$

$\backslash$table$[[$Sources$/$Markets$,$Rate $$/$Ton$-$Mile,Tons,$\backslash$table$[[$Grid horizontal$],[$coordinates$]],\backslash$table$[[$Grid vertical$],[$coordinates$]]],[S_1,$$$0\mathrm{.}50,200,2,14],[S_2,$$$0\mathrm{.}60,300,6,10],[M_1,$$$1\mathrm{.}00,100,2,2],[M_2,$$$2\mathrm{.}00,100,10,14],[M_3,$$$1\mathrm{.}00,100,14,18]]$