To obtain total expenses in the production of a given vector Y, input prices have to be
considered. Let g be vehicle fuel consumption per kilometer, e and q the number of men
required to operate a vehicle and a loading/unloading site respectively, w is the wage rate,
Pg is fuel price, PK and Pm are price per hour of a vehicle of capacity K and a
loading/unloading site of capacity m respectively (consider these either as rental prices or
depreciation). Let g be independent of load size and speed, let e and q be independent of K
and m respectively, and consider the case of y12>y21. With these assumptions and variable
definitions, vehicle expenses per hour including rent and operation (labor and fuel) are
given by