The following data is given for the hill climbing algorithm $($Figure $8\mathrm{.}3$ in textbook or figure on slide #$14$ in module

$.$ The control variable $(x)$ is duty cycle $(D^{**}).$ The step$-$size $(x)$ is change in duty cycle $(D^{**}).$ The initial duty cycle

is $0\mathrm{.}6$ and it is assumed that the power is increasing in the first iteration. Complete the following table by referring

to the hill climbing algorithm.

What is the location of MPP$?($For example, you can say that MPP lies between $4^{th}$ and $5^{th}$ iterations$)$

$\frac{d{p}_{mv}}{d{v}_{p}v}|v_{k-1}=\frac{P_{k-}-P_{k-1}}{V_k}+O(V^2)$

where $V_k=V_k-V_{k-1}$

What is the maximum value of duty cycle $(D^{**})$ obtained through iterations?

Draw the P$-$V curve similar to Fig. $8\mathrm{.}4$ in textbook or figure on slide $11$ in module $8.$ Indicate all data points.