Answer:
The maximum value is 25.
Step-by-step explanation:
We are given the set of numbers:
[tex]\frac{2}{5},\frac{1}{2},5,10[/tex]
We wish to maximize x/y where both x and y are chosen from the given set.
To maximize the quotient, we must select x as the greatest number from the set and y as the smallest number from the set.
Testing the fractions we find:
[tex]\frac{2}{5}=0.4,\ \frac{1}{2}=0.5[/tex]
Thus, the smallest number is 2/5
Select x=10, y=2/5
Now calculate the quotient:
[tex]\displaystyle \frac{10}{\frac{2}{5}}=10*\frac{5}{2}=25[/tex]
The maximum value is 25.
