Question $9($e$)(3$ Points$)$: Determine the overall heat content of a waste after recycling containing food, paper, and cardboard with individual energy and pre$-$recycling percent weight values as follows:

$\backslash$table$[[$Food$,2000Bt\frac{u}{l}b,30\%$ weight$],[$Paper$,7200Bt\frac{u}{l}b,60\%$ weight$],[$Cardboard$,7000Bt\frac{u}{l}b,10\%$ weight$]]$

$($Assume $50\%$ Paper and $10\%$ cardboard are recycled$)$