To find the cost \( c \) for a 14-pound package using the formula given:
\[ c = 2.03w + 14.24 \]
where \( w \) is the weight of the package in pounds. Here, we substitute \( w = 14 \):
\[ c = 2.03(14) + 14.24 \]
First, calculate \( 2.03 \times 14 \):
\[ 2.03 \times 14 = 28.42 \]
Now, add that result to 14.24:
\[ c = 28.42 + 14.24 = 42.66 \]
Therefore, the cost to send a 14-pound package overnight is
\[ \boxed{42.66} \]