$1-61$

A city needs additional solid waste landfill capacity. It has identified two potential sites:

Area A: Capacity is $16$ million cubic meters. Owing to the possibility of high groundwater the Regional Water Pollution Control Board has restricted the lower $2$ million cubic meters of fill to inert material only $($earth$,$ concrete, asphalt, paving, brick, etc.$)$ This must be purchased and hauled to this area for the bottom fill.

Area B: Capacity is $14$ million cubic meters. For $20\%$ of the city, the haul is the same distance as for Area A$.$ The round trip haul is $5$ miles longer for $60\%$ of the city, and $2$ miles shorter for $20\%$ of the city.

Assume the following conditions:

Cost of inert material for area A is $$13\mathrm{.}50/$ cu m

Average speed of trucks from last pickup to disposal site is $25$ mph

The truck and a two$-$person crew will cost $$290$ per hour

Truck capacity is $20$ cubic meters per load

Sufficient cover material is available at both sites

Which site should be recommended?