A manufacturing company that can produce from one up to forty per day, has estimated the following cost and revenue functions where x is the number of units
produced in thousands, and all functions are in thousands of dollars.
C(x) = 160 + 10x and R(x) = x(50 - 1.25x)
(a) Derive the profit function, P(x).
(6) Using algebra, find the break-even values to the nearest thousand units.