A residential building is to be constructed where each floor has one of three possible floor plans A, B, or C. Alternative A has 2 three-room, 3 two-room, and 9 one-room apartments. Alternative B has 6 three-room, 6 two-room, and no one-room apartments. Alternative C has 4 three-room, 3 two-room, and 7 one-room apartments. Let x1, x2, and x3 be the number of floors with respectively the floor plans A, B, and C.   Is it possible to have exactly 34 three-room, 33-two-room-, and 55-one-room apartments as a solution?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A residential building is to be constructed where each floor has one of three possible floor plans A, B, or C. Alternative A has 2 three-room, 3 two-room, and 9 one-room apartments. Alternative B has 6 three-room, 6 two-room, and no one-room apartments. Alternative C has 4 three-room, 3 two-room, and 7 one-room apartments. Let x1, x2, and x3 be the number of floors with respectively the floor plans A, B, and C.

 

Is it possible to have exactly 34 three-room, 33-two-room-, and 55-one-room apartments as a solution?

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