<PRE><B>Question 217485</B>
Find the break-even quantity for a company that makes X number of computer monitors at a cost C given by C = 870 + 70x and receives revenue R given by R = 105x


Step 1.  Breakeven points, set the equations C=180+70x and R=105x to be equal.


Step 2.  Then, 870+70x=105x.


Step 3.  The following steps will solve the equation in Step 2.


Subtract 70x from both sides of the equation to get x-terms only on the right side.


{{{870+70x=105x}}}


{{{870+70x-70x=105x-70x}}}


{{{870=35x}}}


Divide 35 to both sides of the equation


{{{870/35=35x/35}}}


{{{24.86=x}}} or x is approximately 25 computers must be sold to break even


Step 4.  ANSWER is 25 computers must be sold to break even with a positive profit.


I hope the above steps and explanation were helpful.


For free Step-By-Step Videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry, please visit http://www.FreedomUniversity.TV/courses/Trigonometry.


Also,  good luck in your future studies. 


Respectfully,
Dr J






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