A City has $225,000$ people and owns multiple trucks for collection of municipal solid

waste $($MSW$).$ Each truck has a capacity of $22$ yd$3$

$.$ The MSW is collected by the City for

$5$ days$/$week where trash from each household is collected only once per week. If a single

truck serves about $300$ customers per day. Assume that a truck is filled at $90\%$ of its

capacity with the compaction density of $600$ lbs$/$yd$3$

$.$ The uncompacted density of waste

at collection is assumed to be $120$ lbs$/$yd$3$

$.$ Estimate how many trucks are needed by the

City