Question

The production supervisor at a particular office products company finds that it takes 3 hours to manufacture each table for one of its special dining room sets. Each
chair
takes 8 hours to manufacture. A total of 6000 hours is available to produce tables and chairs of this style. The linear equation that models this situation is
3x+8y=6000, where x represents the number of tables produced and y the number of chairs produced.
a. Complete the ordered pair solution (0.) of this equation. Describe the manufacturing situation that corresponds to this solution.
The ordered pair is (0…)

Answer 1

The ordered pairs of the equation are

• 0 tables, 750 chairs
• 2000 tables. 0 chairs

How to find the ordered pairs of the equation

The equation is given as

3x + 8y = 6000

We have x = number of tables

y = number of chairs

When x = 0

3(0) + 8y = 6000

8y = 6000

y = 750

When y = 0

3x + 8(0) = 6000

3x = 6000

x = 2000

The ordered pairs of the products are:

0 table 750 chairs

200 tables, 0 chairs.

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