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
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
Problem 3MC
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Question
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.)
x<?
or
x>?
x>?
x<?
?<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.)
nothingless than<xless than<nothing
xless than<nothing
xgreater than>nothing
xless than<nothing
or
xgreater than>nothing
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