It has been found that a worker new to the operation of a ce

It has been found that a worker new to the operation of a certain task on the assembly line will produce P(t) items on day t, where P(t) = 20-20e^-0.3t. How many items will be produced on the 1^st day, and what is the maximum number of items, according to the function, the worker can produce?

Solution

P(t)=20-20e^-0.3t

number of items produced on first day=P(1)=20-20e^-0.3 =5.18

as t increases to larger value P(t) tends to 20

maximum number of items that canbe produced by worker = 20