math homework please help

Question

The cost to produce x units of wire is C=405x+2100, while the revenue is R=55x. Find the interval where the product will at lease break even.

Answer 1

405x + 2100 = 55x

350x =-2100

x= -6 is the break even point x< -6 for positive profits

the interval is (negative infinity, -6] to avoid losses

but this is not realistic, there's likely a mistake in the problem, a missing digit, sign or exponent somewhere, for it to make economic sense. Producing a negative amount of units would mean the store or manufacturer is buying back its own output.

if the problem had C=45x + 2100 and R=55x

then

45x+2100=55x

10x = 2100

x = 210 is the break even point

and the interval to avoid losses would be [210, infinity}