Respuesta :

Given the equation:

[tex]R=C[/tex]

You know that:

- The manufacturer has a total revenue given by this function:

[tex]R=80x[/tex]

Where "x" is the number of units that gives break-even for the product.

- The manufacturer has a total cost given by:

[tex]C=267000+50x[/tex]

Therefore, knowing that:

[tex]R=C[/tex]

You can set up this equation:

[tex]80x=267000+50x[/tex]

Now you can solve for "x":

- Apply the Subtraction Property of Equality by subtracting this term from both sides:

[tex]50x[/tex]

Then:

[tex]80x-(50x)=267000+50x-(50x)[/tex][tex]30x=267000[/tex]

- Apply the Division Property of Equality by dividing both sides of the equation by 30:

[tex]\frac{30x}{30}=\frac{267000}{30}[/tex][tex]x=8900[/tex]

Hence, the answer is: Option C.

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