A wind farm selling electricity at a price of x cents per kilowatt hour (c/kWh) has found that its profit P (#1,000/yr.) depends according to the P(x) = -x²³² + 10x - 2 on the price x equation. (a) Find the wind farm's profit per year when the price is 2 c/KWh, and also when the price is 56/kwh. (1) Find the average rate of change of profit if the price is changed from 2 c/kwh to 56/kwh and give an interpretation. @ Find the instantaneous rate of change of profit at a price of 26/kwh. J
A wind farm selling electricity at a price of x cents per kilowatt hour (c/kWh) has found that its profit P (#1,000/yr.) depends according to the P(x) = -x²³² + 10x - 2 on the price x equation. (a) Find the wind farm's profit per year when the price is 2 c/KWh, and also when the price is 56/kwh. (1) Find the average rate of change of profit if the price is changed from 2 c/kwh to 56/kwh and give an interpretation. @ Find the instantaneous rate of change of profit at a price of 26/kwh. J
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
Show every step to solve the problem.

Transcribed Image Text:A wind farm selling electricity at a
price of x cents per kilowatt hour
(c/kWh) has found that its profit
P ($1,000/yr.) depends
according to the
P(x) = -x²³² + 10×-2
on the price x
equation.
(a) Find the wind farm's profit per year when
the price is 2 c/KWh, and also when the
price is 56/kwh.
(1) Find the average rate of change of
profit if the price is changed from
2 c/kwh to 56/kwh and give an
interpretation.
@ Find the instantaneous rate of change
of profit at a price of 26/kwh. J
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images

Recommended textbooks for you

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON

Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON

Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman


Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning