The Navy has $8700$ pounds of material in Albany,

Georgia that it wishes to ship to three installations:

San Diego, Norfolk, and Pensacola. They require $4,500,$

$2,800,$ and $2,200$ pounds, respectively. Government

regulations require equal distribution of shipping

among the three carriers. $($Each carrier is shipping $8700/3$ pounds$)$The shipping costs per pound for truck, railroad,

and airplane transit are shown on the next slide.

Formulate and solve a linear program to determine the

shipping arrangements $($mode$,$ destination, and

quantity$)$ that will minimize the total shipping cost.Destination

Mode San Diego Norfolk Pensacola

Truck $$12$ $ $6$ $ $5$

Railroad $20119$

Airplane $302628$