The profit of manufacturing x toasters in one day is given by the following. P(x) = -0.05x² + 28x - 350, 0 < x < 400 (a) List all the critical values of P(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X = (b) Find the interval(s) where P(x) is increasing. (Enter your answer using interval notation.) (c) Find the interval(s) where P(x) is decreasing. (Enter your answer using interval notation.)

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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Q14a1
The profit of manufacturing x toasters in one day is given by the following.
P(x) = -0.05x² + 28x - 350,
0 < x < 400
(a) List all the critical values of P(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
X =
(b) Find the interval(s) where P(x) is increasing. (Enter your answer using interval notation.)
(c) Find the interval(s) where P(x) is decreasing. (Enter your answer using interval notation.)
(d) List the x-value(s) of all local maxima of P(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
X =
(e) List the x-value(s) of all local minima of P(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
X =
Transcribed Image Text:The profit of manufacturing x toasters in one day is given by the following. P(x) = -0.05x² + 28x - 350, 0 < x < 400 (a) List all the critical values of P(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X = (b) Find the interval(s) where P(x) is increasing. (Enter your answer using interval notation.) (c) Find the interval(s) where P(x) is decreasing. (Enter your answer using interval notation.) (d) List the x-value(s) of all local maxima of P(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X = (e) List the x-value(s) of all local minima of P(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X =
Expert Solution
Step 1: Given Information

According to Bartleby guidelines we are supposed to do the first three sub parts of multiple sub parts 

Kindly repost for others 

The Profit of manufacturing x toaster is a day is given by 

P left parenthesis space x space right parenthesis space equals space minus 0.05 x squared space plus space 28 x space minus space 350 space
0 space less than space x space less than space 400

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