Question

What maximum value of \[M\] follows from \[M=K\sqrt{L_1L_2}\] and \[0\leq K\leq 1\] ?

Options

• \[M\geq\sqrt{L_1L_2}\]

• \[M=\frac{1}{\sqrt{L_1L_2}}\]

• \[M\leq L_1L_2\]

• \[M\leq\sqrt{L_1L_2}\]

Answer 1

Because \[K\] cannot exceed 1, multiplying \[\sqrt{L_1L_2}\] by \[K\] cannot increase it. Therefore, \[M\leq\sqrt{L_1L_2}\] .