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...
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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
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
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