SOLUTION: In a certain mill the cost C is thousands of dollars of producing x tons of steel is given by C = 0.3x + 3.5. The revenue R in thousands of dollars from selling x tons if given by

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: In a certain mill the cost C is thousands of dollars of producing x tons of steel is given by C = 0.3x + 3.5. The revenue R in thousands of dollars from selling x tons if given by       Log On


   



Question 25423: In a certain mill the cost C is thousands of dollars of producing x tons of steel is given by C = 0.3x + 3.5. The revenue R in thousands of dollars from selling x tons if given by R = 0.5x. Find the point at which R=C (the break-even point).
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
To find the break-even point, set R = C and solve for x.
R+=+0.5x
C+=+0.3x+%2B+3.5
0.5x+=+0.3x+%2B+3.5 Simplify and solve for x. Subtract 0.3x from both sides.
0.2x+=+3.5 Divide both sides by 0.2
x+=+17.5
Break-even point is 17.5 tons.