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) = 1.04". Consider the function A(T) = C(T) × B(T). a) What are the units of A(T)? Explain the meaning of this function. b) Using Desmos, determine the temperature at which A(T) reaches its maximum. Include a screenshot of your graph, with clear and reasonable scales, as part of you paper submission.

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) = 1.04". Consider the function A(T) = C(T) × B(T). a) What are the units of A(T)? Explain the meaning of this function. b) Using Desmos, determine the temperature at which A(T) reaches its maximum. Include a screenshot of your graph, with clear and reasonable scales, as part of you paper submission.

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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