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.

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

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

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

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

Answer 1

\[5x^2-70x+258=5(x^2-14x+.......)+258\]

Answer 2

\[5(x^2-14x+49)+258-245= 5(x-7)^2+13\]