HAULING & TRANSPORTING MATERIALS

A contractor will use a $1-$cy loader, with $65c\frac{y}{h}r.$ production rate, to move $53,000$

cy of aggregates to the construction site. Diesel dump trucks, with $12-$cy capacity,

will be used to haul the material a distance of $18$ miles from the quarry to the

construction site at an average speed of $40$ mph loaded $($hauling$)$ and $55$ mph when

returning. The estimated time to dump a load is $5$ minutes. In addition to the time

required to load a truck, there will be an average of $3$ minutes waiting by a truck

before moving into position for loading. Assume a $50-$min$-$hour time factor for

both the loader and the trucks.

Given the following unit costs, calculate the cost per cubic yard to move the total

volume of aggregates to the construction site, after balancing the number of trucks

to the loader production?