10 The total costs for a company are given by Cx 3600 70x

10. The total costs for a company are given by

C(x) = 3600 + 70x + x²

and the total revenues are given by

R(x) = 200x.

Find the break-even points. (Enter your answers as a comma-separated list.)
x = ______ units

Solution

given

total costs for a company are

C(x) = 3600 + 70x + x2

and the total revenues are

R(x) = 200x.

for the  the break-even point

total costs= total revenue

3600 + 70x + x²=200x

3600 -130x + x²=0

3600 -90x -40x + x²=0

-90(-40+x)+x(-40+x)=0

(-40+x)(-90+x)=0

-40+x=0,-90+x=0

x=40,x=90

break-even points are
x = __40,90____ units