We are given items A with value $28$ and weight $7,\backslash ($ B $\backslash )$ with value $30$ and weight $\backslash (5,$ C $\backslash )$ with value $14$ and weight $4,\backslash ($ D $\backslash )$ with value $9$ and weight $3,\backslash ($ E $\backslash )$ with value $5$ and weight $2$ and $\backslash ($ F $\backslash )$ with weight $1$ and value $2.$ The discrete $($not the $0-1)$ knapsack problem gives the following tableau. Determine an optimal solution from the tableau.

$\backslash$begin$\{$tabular$\}\{|$r$|$r$|$r$|$r$|$r$|$r$|$r$|$r$|\}$

$\backslash$hline Capacity & $\backslash (\backslash \{\backslash$mathrm$\{$A$\}\backslash \}\backslash )$ & $\backslash (\backslash \{\backslash$mathrm$\{$A$\},\backslash$mathrm$\{$B$\}\backslash \}\backslash )$ & $\backslash (\backslash \{\backslash$mathrm$\{$A$\},\backslash$mathrm$\{$B$\},\backslash$mathrm$\{$C$\}\backslash \}\backslash )$ & $\backslash (\backslash \{\backslash$mathrm$\{$A$\},\backslash$mathrm$\{$B$\},\backslash$mathrm$\{$C$\},\backslash$mathrm$\{$D$\}\backslash \}\backslash )$ & $\backslash (\backslash \{\backslash$mathrm$\{$A$\},\backslash$mathrm$\{$B$\},\backslash$ldots$,\backslash$mathrm$\{$E$\}\backslash \}\backslash )$ & $\backslash (\backslash \{\backslash$mathrm$\{$A$\},\backslash$mathrm$\{$B$\},\backslash$ldots$,\backslash$mathrm$\{$F$\}\backslash \}\backslash )\backslash \backslash$

$\backslash$hline $1$ & $0$ & $0$ & $0$ & $0$ & $0$ & $2\backslash \backslash$

$\backslash$hline $2$ & $0$ & $0$ & $0$ & $0$ & $5$ & $5\backslash \backslash$

$\backslash$hline $3$ & $0$ & $0$ & $0$ & $9$ & $9$ & $9\backslash \backslash$

$\backslash$hline $4$ & $0$ & $0$ & $14$ & $14$ & $14$ & $14\backslash \backslash$

$\backslash$hline $5$ & $0$ & $30$ & $30$ & $30$ & $30$ & $30\backslash \backslash$

$\backslash$hline $6$ & $0$ & $30$ & $30$ & $30$ & $30$ & $32\backslash \backslash$

$\backslash$hline $7$ & $28$ & $30$ & $30$ & $30$ & $35$ & $35\backslash \backslash$

$\backslash$hline $8$ & $28$ & $30$ & $30$ & $39$ & $39$ & $39\backslash \backslash$

$\backslash$hline $9$ & $28$ & $30$ & $44$ & $44$ & $44$ & $44\backslash \backslash$

$\backslash$hline $10$ & $28$ & $60$ & $60$ & $60$ & $60$ & $60\backslash \backslash$

$\backslash$hline $11$ & $28$ & $60$ & $60$ & $60$ & $60$ & $62\backslash \backslash$

$\backslash$hline $12$ & $28$ & $60$ & $60$ & $60$ & $65$ & $65\backslash \backslash$

$\backslash$hline $13$ & $28$ & $60$ & $60$ & $69$ & $69$ & $69\backslash \backslash$

$\backslash$hline $14$ & $56$ & $60$ & $74$ & $74$ & $74$ & $74\backslash \backslash$

$\backslash$hline $15$ & $56$ & $90$ & $90$ & $90$ & $90$ & $90\backslash \backslash$

$\backslash$hline $16$ & $56$ & $90$ & $90$ & $90$ & $90$ & $92\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$