1. Crystal builds and sells birdhouses. Crystal makes n birdhouses in a given week and sells them for 50 – n dollars per birdhouse. Her weekly costs included a fixed cost of $300 plus $10 per birdhouse made. Assume that Crystal sells all of the birdhouses that she makes? a) Write an equation to represent her total weekly cost. b) Write an equation to represent her total weekly revenue. c) Write an inequality to express the conditions for which Crystal will make a profit. d) How many birdhouses should Crystal build each week in order to make a profit? e) What is the optimum number of birdhouses Crystal should build in order to earn maximum profit? How much will she earn if she does this?
1. Crystal builds and sells birdhouses. Crystal makes n birdhouses in a given week and sells them for 50 – n dollars per birdhouse. Her weekly costs included a fixed cost of $300 plus $10 per birdhouse made. Assume that Crystal sells all of the birdhouses that she makes? a) Write an equation to represent her total weekly cost. b) Write an equation to represent her total weekly revenue. c) Write an inequality to express the conditions for which Crystal will make a profit. d) How many birdhouses should Crystal build each week in order to make a profit? e) What is the optimum number of birdhouses Crystal should build in order to earn maximum profit? How much will she earn if she does this?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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PLS HELP ASAP ON ALL GIVEN QUESTIONS PLS, PLS HELP ON ALL 5 PARTS
Transcribed Image Text:1.
Crystal builds and sells birdhouses. Crystal makes n birdhouses in a given week and sells them for 50 – n
dollars per birdhouse. Her weekly costs included a fixed cost of $300 plus $10 per birdhouse made. Assume
that Crystal sells all of the birdhouses that she makes?
a)
Write an equation to represent her total weekly cost.
b)
Write an equation to represent her total weekly revenue.
c)
Write an inequality to express the conditions for which Crystal will make a profit.
d)
How many birdhouses should Crystal build each week in order to make a profit?
Transcribed Image Text:e)
What is the optimum number of birdhouses Crystal should build in order to earn maximum profit? How much
will she earn if she does this?
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