Provide an appropriate response.Of all numbers whose difference is 12, find the two that have the minimum product. Is there a maximum product? Explain.
A. 6 and 18; There is not a maximum product since the function that represents the product has just one critical point, and that critical point is a minimum. The domain is the real line, and on either side of the minimum the function increases without bound.
B. 6 and 18; The maximum product is 108.
C. 6 and -6; There is not a maximum product since the function that represents the product has just one critical point, and that critical point is a minimum. The domain is the real line, and on either side of the minimum the function increases without bound.
D. 6 and -6; The maximum product is 108.
Answer: C
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