Question

Alan repairs televisions. His revenue is modeled by the function R(h)=47+2h for every h hours he spends repairing televisions. His overhead cost is modeled by the function C(h) = 5h² – 25 dollars. After how many hours does he break even?

Answer 1

Answer:

  4

Step-by-step explanation:

Alan's cost and revenue are the same when ...

  R(h) = C(h)

  47 +2h = 5h^2 -25

  0 = 5h^2 -2h -72

  0 = (5h +18)(h -4)

The expression on the right will be zero for h = -3.6 and h = 4. We are only interested in the positive value.

Alan will break even after 4 hours.

_____

After 4 hours, Alan's costs exceed his revenue.