C

1003159201

Level: 
C
The 3D printer prints a solid \( 5 \) centimetre cube in \( 2 \) hours. The printer can print the cube with the maximum edge length of \( 20\,\mathrm{cm} \). Suppose the printing time is directly proportional to the cube volume. Choose the function that describes the dependence of the number \( n \) of cubes printed in \( 1 \) day on the printed cube edge length \( a \), which is specified in centimetres. Neglect time needed for using the printer.
\( n=1500a^{-3},\ a\in(0,20] \)
\( n=60a^{-1},\ a\in(0,20] \)
\( n=300a^{-2},\ a\in(0,20] \)
\( n=2.4a,\ a\in(0,20] \)

1003206002

Level: 
C
We are given three quadratic functions: \[ \begin{aligned} f_1(x)&=ax^2+2ax+a-3, \\ f_2(x)&=a(x-1)^2+2, \\ f_3(x)&=ax^2, \end{aligned} \] where \( a\in(-\infty,0) \). If possible, determine which of the given functions has the highest output value for \( x = 0.5 \).
\( f_2 \)
\( f_3 \)
\( f_1 \)
Given information is insufficient to decide.