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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?

 Feb 21, 2019
 #1
avatar+102355 
+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

 

 

cool  cool  cool

 Feb 21, 2019

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