Producing a bookshelf requires 10 boards and 18 screws. Producing a TV stand requires 7 boards and 16 screws. Each bookshelf yields $22 profit, and each TV stand yields $26 profit. There are 55 boards and 180 screws available. Find the number of bookshelves and number of TV stands to produce to maximize profit? Let X represent the number of bookshelves and Y represent the number of TV stands. What are the resource inequalities for the situation above? 10X +7Y ≤ 22; 18X + 16Y ≥ 26; X ≥ 0; Y ≥ 0 10X +7Y ≤ 55; 18X + 16Y ≤ 180; X ≥ 0; Y ≥ 0 10X+18Y ≤ 55; 7X + 16Y s 180; X ≥ 0; Y ≥ 0 None of the answers provided is correct.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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Producing a bookshelf requires 10 boards and 18 screws. Producing a TV stand
requires 7 boards and 16 screws. Each bookshelf yields $22 profit, and each TV
stand yields $26 profit. There are 55 boards and 180 screws available. Find the
number of bookshelves and number of TV stands to produce to maximize profit?
Let X represent the number of bookshelves and Y represent the number of TV
stands.
What are the resource inequalities for the situation above?
10X +7Y ≤ 22; 18X + 16Y ≥ 26; X ≥ 0; Y ≥ 0
10X +7Y ≤ 55; 18X + 16Y ≤ 180; X ≥ 0; Y ≥ 0
10X+18Y ≤ 55; 7X + 16Y ≤ 180; X ≥ 0; Y ≥ 0
None of the answers provided is correct.
Transcribed Image Text:Producing a bookshelf requires 10 boards and 18 screws. Producing a TV stand requires 7 boards and 16 screws. Each bookshelf yields $22 profit, and each TV stand yields $26 profit. There are 55 boards and 180 screws available. Find the number of bookshelves and number of TV stands to produce to maximize profit? Let X represent the number of bookshelves and Y represent the number of TV stands. What are the resource inequalities for the situation above? 10X +7Y ≤ 22; 18X + 16Y ≥ 26; X ≥ 0; Y ≥ 0 10X +7Y ≤ 55; 18X + 16Y ≤ 180; X ≥ 0; Y ≥ 0 10X+18Y ≤ 55; 7X + 16Y ≤ 180; X ≥ 0; Y ≥ 0 None of the answers provided is correct.
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