Answered: In the 75th Congress (1937−1939) there…

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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In the 75th Congress (1937−1939) there were in the Senate 75 Democrats, 17 Republicans, and 4 members of other parties. Suppose that a bill passed the Senate with 32 more votes in favor than against, with three times as many Democrats voting in favor as non-Democrats voting in favor, and with 35 more Democrats voting in favor than Republicans voting in favor. If every member voted either for the bill or against it, how many Democrats, how many Republicans, and how many members of other parties voted in favor of the bill?

Democrats _____ members

Republicans ______ members

other parties _____ members

At the end of a certain year, the four organizations ranking 5 through 8 in home Internet users in the United States were eBay, the U.S. Government, Amazon, and Lycos, with a combined audience of 112 million users. Taking x to be the eBay audience in millions, y the U.S. Government audience in millions, z the Amazon audience in millions, and u the Lycos audience in millions, it was observed that

					y	−	z	=	z − u
					x	−	y	=	3(y − u) + 21
and	x	−	y	+	z	−	u	=	28.

How large was the audience of each of the four organizations at the end of that year?

eBay ____ million

U.S. Government _____ million

Amazon ____ million

Lycos ____ million

In Example 2 we saw that Airbus A330-300s seat 330 passengers and cost $250 million each, Boeing 767-300ERs seat 270 passengers and cost $200 million each, while Boeing Dreamliner 787-9s seat 240 passengers and cost $250 million each. You are the purchasing manager of an airline company and have a spending goal of $3350 million for the purchase of new aircraft to seat a total of 4290 passengers. Your company has a policy of supporting U.S. industries, and you have been instructed to buy twice as many Boeings as Airbuses. Given the selection of three aircraft, how many of each should you order?

Airbus A330-300s _______
Boeing 767-300ERs _______
Boeing Dreamliner 787-9s _______

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