SOLUTION: Hello, I need help with this question, please! When a manufacturer makes 700 units it costs $2,500. When they make 1200 units, it costs $4,000. Assuming the cost is linear, and

Question 1109230: Hello, I need help with this question, please!
When a manufacturer makes 700 units it costs $2,500. When they make 1200 units, it costs $4,000. Assuming the cost is linear, and they sell the product for $50 per unit.
Find the profit function and use it to find the break-even point.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Plot the Cost, , on the vertical axis
Plot number of units, , on the horizontal axis
--------------
You are given 2 points on a straight line
( 700, 2500 )
( 1200, 4000 )
Use the general point-slope formula to
find the equation:

-------------------------------
Let Profit =

The break even point is where

The break even point would be 9 units
( can't have part of a unit )
-----------------------------------
check:

close enough
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