$(4$@$f5)$

Coca$-$Cola's "Simply Orange" product division ships oranges from three different groves to six different processing plants. Upon completion of processing the oranges at the processing plants, the output is then sent to four different packaging facilities in the of supply chain. Consider the groves the supply portion of the supply chain, and the packaging facilities where the supply chain system 'demand' resides.

How many in$=$out logical constraints not involved with initial orange supply or final demand for processed oranges would we expect in an LP model representing this supply chain situation? $($These are the 'don't lose oranges' and$/$or 'don't magically create oranges' constraints$).$

$3$

$4$

$6$

$13$