$6-33.$ Chicken feed is transported by trucks from three silos to four farms. Some of the silos cannot ship

directly to some of the farms. The capacities of the other routes are limited by the number of trucks

available, and the number of trips made daily. The following table shows the daily amounts of supply at$-$

the silos and demand at the farms $($in thousands of pounds$).$ The cell entries of the table specify the daily$-$

capacities of the associated routes.

$($a$)-$Determine the schedule that satisfies the most demand.

$($b$)-$Will the proposed schedule satisfy all the demand at the farms?

$($c$)$ Suppose that transshipping is allowed between silos $1*$&$*2,$ and silos $2*$&$*3.$ Suppose also that

transshipping is allowed between farms $1*$&$*2,2*$&$*3,$ and $3*$&$*4.$ The maximum two$-$way daily capacity$-$

on the proposed transshipping routes is $50($thousand$)1lb.$ What is the effect of transshipping on the$-$

unsatisfied demands at the farms?