Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y produced after t hours of production is y=102t+1/2t2 − t3, 0 ≤ t ≤ 8. (a) After how many hours will the hourly number of units be maximized? hr (b) What is the maximum hourly output? units/hr

Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y produced after t hours of production is y=102t+1/2t2 − t3, 0 ≤ t ≤ 8. (a) After how many hours will the hourly number of units be maximized? hr (b) What is the maximum hourly output? units/hr

Name: Analysis of daily output of a factory during a 8-hour shift shows that
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y produced after t hours of production isy=102t+1/2t2 − t3, 0 ≤ t ≤ 8.(a) After how many hours will the hourly number of units be maximized? hr (b) W

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section: Chapter Questions

Problem 25RE

See similar textbooks

Similar questions

How are the absolute maximum and minimum similar to and different from the local extrema?
Minimum Find the minimum value of x2+20/(x+1) on the horizontal span of 0 to 10.
Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it continues on its course indefinitely. Let D(t) denote its distance from Earth after t years of travel. Do you expect that D has a limiting value?
Decay of Litter Litter such as leaves falls to the forest floor, where the action of insects and bacteria initiates the decay process. Let A be the amount of litter present, in grams per square meter, as a function of time t in years. If the litter falls at a constant rate of L grams per square meter per year, and if it decays at a constant proportional rate of k per year, then the limiting value of A is R=L/k. For this exercise and the next, we suppose that at time t=0, the forest floor is clear of litter. a. If D is the difference between the limiting value and A, so that D=RA, then D is an exponential function of time. Find the initial value of D in terms of R. b. The yearly decay factor for D is ek. Find a formula for D in term of R and k. Reminder:(ab)c=abc. c. Explain why A=RRekt.