# 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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