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3 The revenue in thousands of dollars of a small coffee shop is modelled by f(x) = 1.5x + 2x - 3x² + 23 where x is the number of cups of coffee sold in thousands. A tea shop opens nearby and its revenue in thousands of dollars is modelled by g(x) = 1.5x² – 2x² + 5x + 25 where x is the number of cups of tea sold in thousands. How many cups should be sold for the coffee store to have a higher revenue than the tea shop. You must provide a full algebraic solution and include an interval chart.

3 The revenue in thousands of dollars of a small coffee shop is modelled by f(x) = 1.5x + 2x - 3x² + 23 where x is the number of cups of coffee sold in thousands. A tea shop opens nearby and its revenue in thousands of dollars is modelled by g(x) = 1.5x² – 2x² + 5x + 25 where x is the number of cups of tea sold in thousands. How many cups should be sold for the coffee store to have a higher revenue than the tea shop. You must provide a full algebraic solution and include an interval chart.

Advanced Engineering Mathematics
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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3 2 The revenue in thousands of dollars of a small coffee shop is modelled by f(x) = 1.5x + 2x - 3x² + 23 where x is the number of cups of coffee sold in thousands. A tea shop opens nearby and its revenue in thousands of dollars is modelled by g(x) = 1.5x² – 2x² + 5x + 25 where x is the number of cups of tea sold in thousands. How many cups should be sold for the coffee store to have a higher revenue than the tea shop. You must provide a full algebraic solution and include an interval chart.
Transcribed Image Text:3 2 The revenue in thousands of dollars of a small coffee shop is modelled by f(x) = 1.5x + 2x - 3x² + 23 where x is the number of cups of coffee sold in thousands. A tea shop opens nearby and its revenue in thousands of dollars is modelled by g(x) = 1.5x² – 2x² + 5x + 25 where x is the number of cups of tea sold in thousands. How many cups should be sold for the coffee store to have a higher revenue than the tea shop. You must provide a full algebraic solution and include an interval chart.
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