integration qtn

[rajee70]

Solon Container receives 450 drums of plastic pellets every 30 days. The
inventory function (drums on hand as a function of days) is I(t) = 450-(t^2)/2.
a)Find the average daily inventory.
b)If the holding cost for one drum is 2 cents per day, find the average daily holding cost.

 

[Unknown008]

Solon Container receives 450 drums of plastic pellets every 30 days. The
inventory function (drums on hand as a function of days) is I(t) = 450-(t^2)/2.
a)Find the average daily inventory.
b)If the holding cost for one drum is 2 cents per day, find the average daily holding cost.

a) Integrate the function and divide it by 2 (hint, your limits are 0 and 30)

b) Simply multiply the cost by the amount of drums on average daily.