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Mike repairs televisions. His revenue equals R(h) = 25 + 30h dollars for every h hours he spends repairing televisions. His overhead cost equals C(h) = 5h2 − 10 dollars.   After how many hours does he break even?

Answer :

texaschic101
25 + 30h = 5h^2 - 10
5h^2 - 30h - 25 - 10 = 0
5h^2 - 30h - 35 = 0
5(h^2 - 6h - 7) = 0
5(h + 1)(h - 7) = 0

h + 1 = 0
h = -1....not this one because it is negative

h - 7 = 0
h = 7 <==

7 hrs would be the break even point <==

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