HE:LP PLEASE
The point at which a company's profits equal zero is called the company's break-even point. let R represent a company's revenue, let C represent the company's costs, and let x represent the number of units produced and sold each day.
R(x)=12x
C(x)=6.5x+22000
a) Find the firm's break-even point; that is, find x so that R=C
b) Find the values of x such that R(x)C(x). this represents the number of units that the company must sell to earn a profit.

Question

HE:LP PLEASE
The point at which a company's profits equal zero is called the company's break-even point. let R represent a company's revenue, let C represent the company's costs, and let x represent the number of units produced and sold each day.
R(x)=12x
C(x)=6.5x+22000
a) Find the firm's break-even point; that is, find x so that R=C
b) Find the values of x such that R(x)>C(x). this represents the number of units that the company must sell to earn a profit.

kropot72 · Answer

The second equation in the question should have a term in x on the right hand side.

anonymous · Answer

Sorry meant c(x)=6.5x+22000

anonymous · Answer

$$
12x=6.5x+22000
$$Solve for $x$.

anonymous · Answer

x would equal 4000

anonymous · Answer

would that be the even the break-even point

anonymous · Answer

yeah if you solved for x correctly.

anonymous · Answer

how would you get b? would it be the same?

anonymous · Answer

Well, you change the = to a > and you have the answer.

anonymous · Answer

wow so they are basically 4000 but with different signs

anonymous · Answer

At 4000 units you break even, whenever you sell more than 4000 you make a profit.