Question

Among all pairs of numbers whose sum is 4​, find a pair whose product is as large as possible. What is the maximum​ product? The pair of numbers whose sum is 4 and whose product is as large as possible is

Answer 1

Answer:

8 and 8; 64

Step-by-step explanation:

1. x + y = 16                                                          

2. y = 16 - x                                                          

3. Product = xy = x (16 - x) = -$x^{2}$ + 16x = f(x)                          

4. x-coordinate of the vertex = $\frac{-16}{2(-1)} =8$

5. y = 16 - 8 = 8

6. xy = 8(8)= 64