MATH HELP

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.

i thiink its b

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  1. f(x) = 5x^2 − 70x + 258
    = 5(x^2 - 14x + 49-49) + 258
    = 5(x-7)^2 - 245 + 258
    = 5(x-7)^2 + 13
    my choice is a)

    The minimum cost is 13, obtained when x = 7

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

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