Chapter 6.2, Problem 31E

Artificial Lung If an artificial lung company manufactures more than five machines per day, the revenue function in thousands of dollars to manufacture and sell x machines is given by

$R(x)=\frac{80-24x}{2-x}$

The cost function in thousands of dollars to manufacture x machines is given by

$C(x)=\frac{60-12x}{3-x}$

Determine the profit function in thousands of dollars for this company when more than five machines per day are manufactured by obtaining

$P(x)=R(x)-C(x)$