Question: A worker new to a job will improve his efficiency with time so that it takes him fewer hours to produce an item with each

A worker new to a job will improve his efficiency with time so that it takes him fewer hours to produce an item with each day on the job, up to a certain point. Suppose the rate of change of the number of hours it takes a worker in a certain factory to produce the xth item is given by H′(x) = 20 - 2x.
(a) What is the total number of hours required to produce the first 5 items?
(b) What is the total number of hours required to produce the first 10 items?

Step by Step Solution

3.35 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Hx 20 2x is the rate of change of the number of hours it takes a worker ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus With Applications Questions!