Answered: The following table shows the amount…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Question

100%

The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2014.† Set up a system and then solve using technology. HINT [See the technology note accompanying Example 1.]

Airline	United Continental	American	JetBlue	Southwest
Cost (¢)	14.9	14.6	11.9	12.4

Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 210 empty seats, costing them a total of $88,305. If United Continental had three times as many empty seats as American, how many empty seats did each of these three airlines carry on its flight?

United Continental ___ empty seats

American ___ empty sets

Southwest ___ empty seats

Expert Solution

Step 1

Let the Number of empty seats of American be x.

Then the Number of empty seats of United Continental=3x

Let the Number of empty seats of Southwest be y.

We are given Total Number of empty seats = 210

$\Rightarrow x + 3 x + y = 210 \Rightarrow 4 x + y = 210 - - - (1)$

Total cost of empty seats=$88,305

$T o t a l C o s t = (x \times 14.6 \times 3000) + (3 x \times 14.9 \times 3000) + (y \times 12.4 \times 3000)$

$\Rightarrow (x \times 14.6 \times 3000) + (3 x \times 14.9 \times 3000) + (y \times 12.4 \times 3000) = 88, 305 \times 100 \Rightarrow 14.6 x + 44.7 x + 12.4 y = \frac{88, 305}{3000} \times 100 \Rightarrow 59.3 x + 12.4 y = 2943.5 - - - (2)$

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Systems of Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions