If the profit function for a firm is given by P(x) = -2600 + 150x-x² and limitations on space require that production be less than 100 units, find the break-even points. (Enter your answers as a comma-separated list.) units x =

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter14: Capital Structure Management In Practice
Section14.A: Breakeven Analysis
Problem 7P
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4 only.

4. L
5. [
If the profit function for a firm is given by P(x) = -2600 + 150x - x² and limitations on space require that production be less than 100 units, find the break-even points. (Enter your answers as a comma-separated list.)
X =
units
The owner of a skating rink rents the rink for parties at $700 if 50 or fewer skaters attend, so that the cost per person is $14 if 50 attend. For each 5 skaters above 50, she reduces the price per skater by $0.50.
(a) Construct a table that gives the revenue generated if 50, 55, and 70 skaters attend.
No. of skaters
Total Revenue
50
55
70
=
Price per
Skater
$
$
$
(b) Does the owner's revenue from the rental of the rink increase or decrease as the number of skaters increases from 50 to 70?
O The revenue increases.
O The revenue decreases.
(c) Write the equation that describes the revenue for parties with x groups of five skaters more than 50 skaters.
R(x)
(d) Find the revenue when 150 skaters attend.
$
Transcribed Image Text:4. L 5. [ If the profit function for a firm is given by P(x) = -2600 + 150x - x² and limitations on space require that production be less than 100 units, find the break-even points. (Enter your answers as a comma-separated list.) X = units The owner of a skating rink rents the rink for parties at $700 if 50 or fewer skaters attend, so that the cost per person is $14 if 50 attend. For each 5 skaters above 50, she reduces the price per skater by $0.50. (a) Construct a table that gives the revenue generated if 50, 55, and 70 skaters attend. No. of skaters Total Revenue 50 55 70 = Price per Skater $ $ $ (b) Does the owner's revenue from the rental of the rink increase or decrease as the number of skaters increases from 50 to 70? O The revenue increases. O The revenue decreases. (c) Write the equation that describes the revenue for parties with x groups of five skaters more than 50 skaters. R(x) (d) Find the revenue when 150 skaters attend. $
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