From the figure we find that
Vi = 40V, I1 = 50 mA

∴ Maximum current
I = I1 + I2 = 5mA + 0
= 50 mA = 50 x 10-3 A
Since maximum current flows through zener diode, hence
I2 = 0
Voltage drop across zener, V0 = 10 V
Since I is maximum, hence maximum value of R is given by
R = \(\frac{V_i - V_0}{I} = \frac{40 - 10 }{50 \times 10^{-3}} \) = 60Ω