The total cost, in millions of dollars, of producing x thousand units of an item is C(x) = 4(x − 1)^2 + 4.

Question

The revenue (in millions of dollars) from selling x thousand units of the item is R(x) = 10x. What does this tell you about the price of each unit?

Give your answer without commas.

Would I use R(X) as the input for c(x) so it would be c(x) = 4 (10x -1)^2 + ?

when will I lose money

0 < x < 1/2 and x > 4

or

1/2 < x < 4

Answer 1

Whether to calculate the price is correct and when will I be losing money

Answer 2

X value to make profit would be
1/2 < x <4

Break even point

x = 1/2 and x = 4

If this part of my work helps at all. Just looking at this point for the price of each unit and the check portion for when I will lose money