b$)$ Tesco PLC has paid the following dividends over the past seven years: Year$/$Dividend per share$2022/2\mathrm{.}35$

$2021/2\mathrm{.}28$

$2020/2\mathrm{.}10$

$2019/1\mathrm{.}95$

$2018/1\mathrm{.}82$

$2017/1\mathrm{.}80$

$2016/1\mathrm{.}73$

$2015/1\mathrm{.}61$

i$)$ Based on the information provided above, apply Gordons growth model to compute the dividend growth rate

ii$)$ If you can earn $13\%$ on similar$-$risk investments, what is the most you would be willing to pay per share?