Problem $11-14($Static$)$

Given the following information set up the problem in a transportation table and solve for the minimum$-$cost plan:

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

$\backslash$hline $\backslash$multirow$[$t$]\{2\}\{*\}\{\}$ & $\backslash$multicolumn$\{3\}\{|$c$|\}\{$PERIOD$\}\backslash \backslash$

$\backslash$hline & $1$ & $2$ & $3\backslash \backslash$

$\backslash$hline Demand & $550$ & $700$ & $750\backslash \backslash$

$\backslash$hline $\backslash$multicolumn$\{4\}\{|$l$|\}\{$Capacity$\}\backslash \backslash$

$\backslash$hline Regular & $500$ & $500$ & $500\backslash \backslash$

$\backslash$hline Overtime & $50$ & $50$ & $50\backslash \backslash$

$\backslash$hline Subcontract & $120$ & $120$ & $100\backslash \backslash$

$\backslash$hline Beginning inventory & $100$ & & $\backslash \backslash$

$\backslash$hline $\backslash$multicolumn$\{4\}\{|$l$|\}\{$Costs$\}\backslash \backslash$

$\backslash$hline Regular time & $\backslash$$ $60$ per unit & & $\backslash \backslash$

$\backslash$hline Overtime & $\backslash$$ $80$ per unit & & $\backslash \backslash$

$\backslash$hline Subcontract & $\backslash$$ $90$ per unit & & $\backslash \backslash$

$\backslash$hline Inventory carrying cost & $\backslash$$ $1$ per unit & & $\backslash \backslash$

$\backslash$hline Back$-$order cost & $\backslash$$ $3$ per unit & & $\backslash \backslash$

$\backslash$hline

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

Minimum total cost