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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?

Respuesta :

taskmasters
The model that shows the break even point is that which shows that cost is equal to revenue. 
                                10 + 30h = 5h² - 25
The vaue of h is equal to 7. Thus, Alan can only breakeven after 7 hours of working in in the television repair shop.
TaeKwonDoIsDead

Answer:

After 7 hours, he breaks even.


Step-by-step explanation:

Break Even Point is when Revenue = Cost.

So we equate the revenue function and cost function, and figure out the value of [tex]h[/tex] to find his break even hours.

[tex]R(h)=C(h)\\10+30h=5h^2-25\\0=5h^2-30h-25-10\\0=5h^2-30h-35\\0=h^2-6h-7\\0=(h-7)(h+1)\\h=7,-1[/tex]


The number of hours, h, cannot be negative, so h = 7 is the right answer.

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