The commanding officer (CO) plans to move a part of hisbattalion to
another location. There are two types of vehicle available to him,a Ford
vehicle that can carry 25 m3 plus 5 personnel, and a Holden vehiclethat
can carry 15 m3 plus 10 personnel. For security reason, allvehicles must
move together and they will be used for a single trip. Therequired
materials to be taken to the new location are organized in unitpallet
load of 2 m3. The CO requires transporting of a total of 60 palletloads
and 40 personnel. There are a maximum of 30 Ford and 40Holden
vehicles available. Each Ford vehicle is estimated to use 50 L offuel per
trip, whereas the Holden vehicle will only use 30 L. If the COwants to
move all the required materials and personnel at minimum fueluse,
what mix of Ford and Holden vehicles should the CO choose?Formulate
the problem as an LP model.
