The cost to produce a product is modeled by the function f(x) = 5x^2 − 70x + 258 where x is the number of products produced. Complete the square to determine the minimum cost of producing this product.

5(x − 7)^2 + 13; The minimum cost to produce the product is $13.

5(x − 7)^2 + 13; The minimum cost to produce the product is $7.

5(x − 7)^2 + 258; The minimum cost to produce the product is $7.

5(x − 7)^2 + 258; The minimum cost to produce the product is $258.

Question

The cost to produce a product is modeled by the function f(x) = 5x^2 − 70x + 258 where x is the number of products produced. Complete the square to determine the minimum cost of producing this product.

 5(x − 7)^2 + 13; The minimum cost to produce the product is $13.

 5(x − 7)^2 + 13; The minimum cost to produce the product is $7.

 5(x − 7)^2 + 258; The minimum cost to produce the product is $7.

 5(x − 7)^2 + 258; The minimum cost to produce the product is $258.

anonymous · Answer

the third one..

anonymous · Answer

how did you get that

anonymous · Answer

ok... the first step: 
Okay, it would be good to rewrite this in the form:
 x^2 -14x + 258 / 5 = 0
 Do you see how I got to this step?

anonymous · Answer

yeah

anonymous · Answer

so... minimum cost is it's 7.

you have to solve for x, and you'll get 
x = 1/5(35 - i sqrt(65) )
and
x = 1/5 (35 + i sqrt(65) )

which is equal to 7 -1.6 and 7 + 1.6, which is basically just 7..
................Hope it helps.........!! :)

anonymous · Answer

Thank you so much for your help

anonymous · Answer

yeah pleasure is all mine. Anytime :)