24.) Break-Even Analysis: School Construction Costs The cost, in millions of dollars, of building a three-story high school in New York State was estimated to be C(x) = 1.7 + 0.14x - 0.0001x2 (20 < x< 400), 22 where x is the number of thousands of square feet." Sup- pose that you are contemplating building a for-profit three- story high school and estimate that your total revenue will be $0.2 million per thousand square feet. What is the profit function? What size school should you build to break even?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 43E
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24. Break-Even Analysis: School Construction Costs The
cost, in millions of dollars, of building a three-story high
school in New York State was estimated to be
C(x) = 1.7 + 0.14x - 0.0001x (20 <x< 400),
where x is the number of thousands of square feet. Sup-
pose that you are contemplating building a for-profit three-
story high school and estimate that your total revenue will
be $0.2 million per thousand square feet. What is the profit
function? What size school should you build to break even?
Transcribed Image Text:24. Break-Even Analysis: School Construction Costs The cost, in millions of dollars, of building a three-story high school in New York State was estimated to be C(x) = 1.7 + 0.14x - 0.0001x (20 <x< 400), where x is the number of thousands of square feet. Sup- pose that you are contemplating building a for-profit three- story high school and estimate that your total revenue will be $0.2 million per thousand square feet. What is the profit function? What size school should you build to break even?
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ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage