Question

Find two positive numbers such that their sum is 60 and their product is a maximum. Select one: O a. 30 and 30 O b. 25 and 35 O c. 1 and 59 O d. 20 and 40​

Answer 1

A. 30 x 30 = 900
B. 25 x 35 = 875
C. 1 x 59 = 59
D. 20 x 40 = 800

The biggest product is for 30 and 30

If you call one number x the other will be 60 - x
Product = x(60 - x) = 60x - x^2
This is a parabola with roots at 0 and 60
The maximum product is halfway between 0 and 60 ie when x = 30

Answer 2

B: 25 and 35

Explanation:

25 product 35 875