For a certain compony, the cost function for is CCx)=40x +100 nd the revenue Function For selling x items is RCX)=-0.5 (x-120)2 +7, a00. The maximom cepacity of the compony is 150 items. producing x items 1 assuming that the compony sells all that it produces,what is. the profit funchion? PCx)?

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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I know that P(x)=R(x)-C(x) and I know that P(80)=$3100 and P(90)=$3050 so the correct answer would be 80 for part 3 but I can't figure out part 2 and part 4 can someone help me out and explain how to do it 

the cost function for producing xitems
For
is CCx)= 40x +100 ond the revenue Function For selling
x items is RCX)=-0.5 (x-120)2 +7, a00. The maximom
cepacity of the compony
a certain
compony,
%3D
is 150 items.
1. assuming
the profit function?
PCx)?
that the compony sells all that it produces, what is
2.What is the domain oF P(x)?
Does calculeting P(x)make sense when x = -10 or X =1,000?
3. The compeny cen ch0ose to produce either 80 or 90 items.
What is their profit for each case,ond which level.ofproduction.
Should they choose ?
Profit when producing 80 items?
Profit when producing 90 items?
4. Con
you explain,
less profit wwhen producing 10 more units?
from
aur model, why the compony mekes
Transcribed Image Text:the cost function for producing xitems For is CCx)= 40x +100 ond the revenue Function For selling x items is RCX)=-0.5 (x-120)2 +7, a00. The maximom cepacity of the compony a certain compony, %3D is 150 items. 1. assuming the profit function? PCx)? that the compony sells all that it produces, what is 2.What is the domain oF P(x)? Does calculeting P(x)make sense when x = -10 or X =1,000? 3. The compeny cen ch0ose to produce either 80 or 90 items. What is their profit for each case,ond which level.ofproduction. Should they choose ? Profit when producing 80 items? Profit when producing 90 items? 4. Con you explain, less profit wwhen producing 10 more units? from aur model, why the compony mekes
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