Recall that profit equals revenue minus cost. For the revenue and cost functions​ shown, answer parts ​(a) through​ (e) below.   ​R(x)equals=400x−2x^2 and ​C(x)equals=200x+4250​, with 0≤x≤100 ​(a) Find the​ break-even point.   The​ break-even point(s)​ is(are) x=?. ​(Type an integer or decimal rounded to one decimal place as needed. Use a comma to separate answers as​ needed.) ​(b) Find the​ x-value that makes profit a maximum.   x=? ​(Type an integer or decimal rounded to one decimal place as​ needed.) ​(c) Find the maximum profit.   The maximum profit is ​$? ​(Type an integer or decimal rounded to one decimal place as​ needed.) ​(d) For what​ x-values will a loss​ occur?   Select the correct choice below and fill in the answer​ box(es) to complete your choice.   ​(Round to one decimal place as​ needed.)   A. x<? or x>?   B. x>?   C. x<?   D. ?<x<? ​(e) For what​ x-values will a profit​ occur?   Select the correct choice below and fill in the answer​ box(es) to complete your choice.   ​(Round to one decimal place as​ needed.)   A. nothingless than<xless than<nothing   B. xless than<nothing   C. xgreater than>nothing   D. xless than<nothing or xgreater than>nothing

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter4: Extent (how Much) Decisions
Section: Chapter Questions
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Recall that profit equals revenue minus cost. For the revenue and cost functions​ shown, answer parts ​(a) through​ (e) below.
 
​R(x)equals=400x−2x^2
and
​C(x)equals=200x+4250​,
with
0≤x≤100
​(a) Find the​ break-even point.
 
The​ break-even point(s)​ is(are)
x=?.
​(Type an integer or decimal rounded to one decimal place as needed. Use a comma to separate answers as​ needed.)
​(b) Find the​ x-value that makes profit a maximum.
 
x=?
​(Type an integer or decimal rounded to one decimal place as​ needed.)
​(c) Find the maximum profit.
 
The maximum profit is
​$?
​(Type an integer or decimal rounded to one decimal place as​ needed.)
​(d) For what​ x-values will a loss​ occur?
 
Select the correct choice below and fill in the answer​ box(es) to complete your choice.
 
​(Round to one decimal place as​ needed.)
 
A.
x<?
or
x>?
 
B.
x>?
 
C.
x<?
 
D.
?<x<?
​(e) For what​ x-values will a profit​ occur?
 
Select the correct choice below and fill in the answer​ box(es) to complete your choice.
 
​(Round to one decimal place as​ needed.)
 
A.
nothingless than<xless than<nothing
 
B.
xless than<nothing
 
C.
xgreater than>nothing
 
D.
xless than<nothing
or
xgreater than>nothing
 
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