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A plane crosses the Atlantic Ocean (3000 miles) with an airspeed of 500 miles per hour. The cost C (in dollars) per passenger is given by x C(x) = 150+=+ 40,000 x where x is the ground speed (airspeed + wind). (a) What is the cost when the ground speed is 500 miles per hour, 620 miles per hour? (b) Find the domain of C. (c) Use a graphing calculator to graph the function C = C(x). (d) Create a TABLE with TblStart=0 and ATbl = 50. (e) To the nearest 50 miles per hour, what ground speed minimizes the cost per passenger?

A plane crosses the Atlantic Ocean (3000 miles) with an airspeed of 500 miles per hour. The cost C (in dollars) per passenger is given by x C(x) = 150+=+ 40,000 x where x is the ground speed (airspeed + wind). (a) What is the cost when the ground speed is 500 miles per hour, 620 miles per hour? (b) Find the domain of C. (c) Use a graphing calculator to graph the function C = C(x). (d) Create a TABLE with TblStart=0 and ATbl = 50. (e) To the nearest 50 miles per hour, what ground speed minimizes the cost per passenger?

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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A plane crosses the Atlantic Ocean (3000 miles) with an airspeed of 500 miles per hour. The cost C (in dollars) per passenger is given by X C(x) = 150 + + 9 40,000 X where x is the ground speed (airspeed ± wind). (a) What is the cost when the ground speed is 500 miles per hour; 620 miles per hour? (b) Find the domain of C. (c) Use a graphing calculator to graph the function C = C(x). (d) Create a TABLE with TblStart=0 and ATbl = 50. (e) To the nearest 50 miles per hour, what ground speed minimizes the cost per passenger?
Transcribed Image Text:A plane crosses the Atlantic Ocean (3000 miles) with an airspeed of 500 miles per hour. The cost C (in dollars) per passenger is given by X C(x) = 150 + + 9 40,000 X where x is the ground speed (airspeed ± wind). (a) What is the cost when the ground speed is 500 miles per hour; 620 miles per hour? (b) Find the domain of C. (c) Use a graphing calculator to graph the function C = C(x). (d) Create a TABLE with TblStart=0 and ATbl = 50. (e) To the nearest 50 miles per hour, what ground speed minimizes the cost per passenger?
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