Let $x$ and $y$ be nonnegative real numbers. If $x + y = 25$, then find the minimum value of $6x + 3y.$
Let $x$ and $y$ be nonnegative real numbers. If $x + y = 25$, then find the minimum value of $6x + 3y.$
Let's test a few examples and see if we can spot a trend.
X Y=25–X 6X+3Y
0 25 75 <<—— I think it's reasonable to conclude
1 24 78 that 75 will be the minimum value.
2 23 81
3 22 84
4 21 87
5 20 90
10 15 105
15 10 120
20 5 135
25 0 150
.