The cost to produce a product is modeled by the function f(x) = 5x2 − 70x + 258 where x is the number of products produced. Comp
lete the square to determine the minimum cost of producing this product.
2 answers:
<h2>
Answer:</h2>
The minimum cost of producing this product is:
13
<h2>
Step-by-step explanation:</h2>
The function which is used to represent the cost to produce x elements is given by:
Now, on simplifying this term we have:
We know that:
This means that:
This means that the minimum cost of producing this product is: 13
5x^2 - 70x + 258
= 5(x^2 - 14x) + 258
= 5[ ( x - 7)^2 - 49) + 258
= 5 (x - 7)^2 - 245 + 258
= 5(x - 7)^2 + 13
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