Wei Ming is $25$ years old graduating from NTU with a business degree. According to Singapore

Department of Statistics $($DOS$),$ the average accumulated savings of Singaporeans from $30$ to $60$

years old, and Wei Ming's respective savings targets are shown in Table $1.$

Table $1$

DOS's average accumulated savings and Wei Ming's targeted savings

In Table $1,$ average accumulated savings is calculated based on $28\mathrm{.}8\%$ of Singaporeans' average

monthly salary. However, Wei Ming's target savings is $50\%$ of his monthly salary. Assume

Singaporeans start working from $26$ years old.

Required:

a$.$ Compute the average monthly salaries of Singaporeans at different ages from $30$ to

$60$ years old to achieve their average accumulated savings. Assume no interest rate.

$(5$ marks$)$

b$.$ Compute Wei Ming's expected monthly salaries to achieve his accumulated

savings targets from $30$ to $60$ years old. Assume no interest rate.