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Alan repairs televisions. His revenue is modeled by the function R(h)=10+30h 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?

jj88778 Feb 21, 2019

#1**+2 **

Break even is where R = C

So we have

10 + 30 h = 5h^2 - 25 simplify

5h^2 - 30h - 35 = 0 divide through by 5

h^2 - 6h - 7 = 0 factor

(h - 7) ( h + 1) = 0

Set both factors = 0 and solve for h and we get that

h = 7 or h = -1

Only the first makes sense...so....Alan breaks even after 7 hours

CPhill Feb 21, 2019