On a certain workday, the rate, in tons per hour, at which unprocessed gravel arrives at a gravel processing plant is
modeled by G(t) = 90 + 45 cos (t), where t is
measured in hours and 0 the workday (t=0), the plant has 500 tons of unprocessed
gravel. During the hours of operations, 0 plant processes gravel at a constant rate of 100 tons per
hour.
d.) what is the maximum amount of unprocessed gravel
at the plant during the hours of operation on this
workday. Justify your answer.