How many sweaters must they produce to break-even? That is, how many sweaters must they produce so that the profit is$0?

The functionP(x)=1.5x30 is a linear equation, so its graph is a straight line that can be drawn by plotting 2 points and connecting them.

Its P intercept occurs when x=0,so

P(0)=30,

and (0,30) is the P-intercept.

To find another point, plug in another x value into the function P(x).For example, when x=30, we have

P(30)=1.5(30)30=15.

So, (30,15) is another point on the graph of P(x).

How many sweaters must they produce to break-even? That is, how many sweaters must they produce so that the profit is $0?