A small refreshment stand at the beach sells cans of pop to thirsty people. The number of customers that visit the stand each day is based on the temperature outside. This is modelled by the function C(T) = -0.05(T – 25)² + 30 , where C is the number of customers and T is the temperature (in °C). The average number of beverages that each customer orders, B, is also based on temperature, according to the function B(T) = 1.047. Consider the function A(T) = C(T) × B(T). a) What are the units of A(T)? Explain the meaning of this function.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A small refreshment stand at the beach sells cans of pop to thirsty people.
The number of customers that visit the stand each day is based on the temperature outside.
This is modelled by the function C(T) = -0.05(T – 25)² + 30 , where C is the number of customers and T
is the temperature (in °C).
The average number of beverages that each customer orders, B, is also based on temperature, according to
the function B(T) = 1.047.
Consider the function A(T) = C(T) × B(T).
a)
What are the units of A(T)? Explain the meaning of this function.
Transcribed Image Text:A small refreshment stand at the beach sells cans of pop to thirsty people. The number of customers that visit the stand each day is based on the temperature outside. This is modelled by the function C(T) = -0.05(T – 25)² + 30 , where C is the number of customers and T is the temperature (in °C). The average number of beverages that each customer orders, B, is also based on temperature, according to the function B(T) = 1.047. Consider the function A(T) = C(T) × B(T). a) What are the units of A(T)? Explain the meaning of this function.
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