FOR BRAINLIEST ANSWER IF CORRECT The production supervisor finds that it takes 3 hours to manufacture a particular office chair and 6 hours to manufacture a particular office desk. A total of 1200 hours is available to produce office chairs and desks of this style. The linear equation that models this situation is 3x + 6y = 1200, where x represents the number of chairs produced and y represents the number of desks produced. (Do you see why?)

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isyllus isyllus · Answer 1 · 2020-07-14T02:51:18+02:00

Answer:

[tex]3x + 6y = 1200[/tex] is the correct linear equation.

Step-by-step explanation:

Given:

Time taken to manufacture an office chair = 3 hours

Number of office chairs produced = [tex]x[/tex]

Time taken to manufacture an office desk = 6 hours

Number of office desks produced = [tex]y[/tex]

Let us calculate, Total Time taken to manufacture [tex]x[/tex] chairs.

Suppose we manufacture 2 chairs, time taken = 3 hours + 3 hours i.e. = 6 hours

Suppose we manufacture 3 chairs, time taken = 3 hours + 3 hours + 3 hours i.e. = 9 hours

Now, we are manufacturing [tex]x[/tex] number of chairs so we have to add 3 for [tex]x[/tex] number of times:

OR

simply multiply 3 with [tex]x[/tex].

i.e. Total time taken in producing [tex]x[/tex] chairs = 3[tex]x[/tex] hours

Similarly Total time taken in producing [tex]y[/tex] desks = 6[tex]y[/tex] hours

We have a total of 1200 hours to produce this type of office chairs and desks:

So, 1200 = Total time taken in producing [tex]x[/tex] chairs + Total time taken in producing [tex]y[/tex] desks

Putting the values, we get the following:

[tex]3x+6y=1200[/tex] is the correct linear equation for the situation.