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?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter0: A Review Of Basic Algebra
Section0.1: Sets Of Real Numbers
Problem 74E
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