The density and cost of polymeric materials may be reduced by replacing some of the polymer with a less$-$dense and lower$-$cost material such as wood flour $($or fine sawdust$).$ These materials can be treated as large$-$particle composites consisting of a polymer matrix phase and a particulate filler phase; Let us consider such a composite made of high$-$density polyethylene $($HDPE$)$ containing $40$vol$\%$ of wood flour. Using data in the following table, determine the upper$-$ and lower$-$bound modulus of elasticity values $($in GPa$)$

$\backslash$table$[[$Material$,\backslash$table$[[$Density$],[(\frac{g}{c}{m}^3)$