Question

The cost to produce a product is modeled by the function f(x) = 2x2 − 12x + 24, where x is the number of products produced. Complete the square to determine the minimum cost of producing this product.

Answer 1

Explanation:

f(x) = 2x2 − 12x + 24

= 2(x^2 - 6x) + 24

= 2[(x - 3)^2 - 9) + 24

= 2(x - 3)^2 - 18 + 24

= 2(x - 3)^2 + 6

- so the minimum cost is 6