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?)

is the correct linear equation.

Step-by-step explanation:

Given:

Time taken to manufacture an office chair = 3 hours

Number of office chairs produced =

Time taken to manufacture an office desk = 6 hours

Number of office desks produced =

Let us calculate, Total Time taken to manufacture 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 number of chairs so we have to add 3 for number of times:

OR

simply multiply 3 with .

i.e. Total time taken in producing chairs = 3 hours

Similarly Total time taken in producing desks = 6 hours

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

So, 1200 = Total time taken in producing chairs + Total time taken in producing desks

Putting the values, we get the following:

is the correct linear equation for the situation.