SOLUTION: 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

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Question 217485: 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
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
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%2B70x=105x

870%2B70x-70x=105x-70x

870=35x

Divide 35 to both sides of the equation

870%2F35=35x%2F35

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.

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Also, good luck in your future studies.

Respectfully,
Dr J