Question

If C(x) = (x - 2)^2 + 5, find the maximum profit (which might be negative!).

The maximum profit is

Answer 1

So what is the function for P if we know C?

Answer 2

you can see from this form of the equation that the vertex is at (2,5).
5 is the min profit because the vertex is at the minimum. There is no max profit because each side of the parabola tends toward infinity when x gets larger positively or negatively

Answer 3

Oh this is the cost function, not the profit function

Answer 4

x*C(x) = profit right?

Answer 5

P(x)=R(x)-C(x)=x p(x)-C(x)
but what is the little p guy?

Answer 6

little p is the demand function

Answer 7

so i guess C is all we know?