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A diner is open from 6 a.m. to 6 p.m., and the average number of customers in the diner at any time can be modelled by the function C(h) = -30 cos s(h) + 34, where h is the number of hours after the 6 a.m. opening time. The average amount of money, in dollars, that each customer in the diner will spend can be modelled by the function D(h) = -3 sin (h) +7. a. Write the function that represents the diner's average revenue from the customers. b. What is the average revenue from the customers in the diner at 2 p.m.?

A diner is open from 6 a.m. to 6 p.m., and the average number of customers in the diner at any time can be modelled by the function C(h) = -30 cos s(h) + 34, where h is the number of hours after the 6 a.m. opening time. The average amount of money, in dollars, that each customer in the diner will spend can be modelled by the function D(h) = -3 sin (h) +7. a. Write the function that represents the diner's average revenue from the customers. b. What is the average revenue from the customers in the diner at 2 p.m.?

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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2. A diner is open from 6 a.m. to 6 p.m., and the average number of customers in the diner at any time can be modelled by the function C(h) = −30 cos ; (h) + 34, where h is the number of hours after the 6 a.m. opening time. The average amount of money, in dollars, that each customer in the diner will spend can be modelled by the function D (h) = −3 sin (h) +7. a. Write the function that represents the diner's average revenue from the customers. b. What is the average revenue from the customers in the diner at 2 p.m.?
Transcribed Image Text:2. A diner is open from 6 a.m. to 6 p.m., and the average number of customers in the diner at any time can be modelled by the function C(h) = −30 cos ; (h) + 34, where h is the number of hours after the 6 a.m. opening time. The average amount of money, in dollars, that each customer in the diner will spend can be modelled by the function D (h) = −3 sin (h) +7. a. Write the function that represents the diner's average revenue from the customers. b. What is the average revenue from the customers in the diner at 2 p.m.?
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