Question

The production supervisor at a particular office products company finds that it takes 2 hours to manufacture a particular office chair and 5 hours to manufacture a computer desk. A total of 1000 hours is available to produce office chairs and desks of this style. The linear equation that models this situation is 2x+5y=1000​, where x represents the number of chairs produced and y the number of desks manufactured. Complete the ordered pair solution​ (0, ) of this equation. Describe the manufacturing situation that corresponds to this solution.

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Part 1
Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
A.
The ordered pair is ​(0,enter your response here​). It describes manufacturing no chairs and enter your response here computer desks.
B.
The ordered pair is ​(0,enter your response here​). It describes

Answer 1

Answer: The ordered pair is (0, 200). It describes manufacturing no chairs and 200 computer desks.

In the linear equation 2x + 5y = 1000, when x = 0, it means no chairs are produced. By substituting x = 0 into the equation, we get:

2(0) + 5y = 1000

0 + 5y = 1000

5y = 1000

y = 1000 / 5

y = 200

So, when no chairs are produced (x = 0), the company can manufacture 200 computer desks (y = 200) using the available 1000 hours of production time.