a$)$ What do you understand by Simple Interest? Show through an example.

$(4$ marks$)$

b$)$ A sum of RM$50,000$ will be received over a $5-$year period beginning $2-$years from now. What is the present value of this deferred funds flow if interest is compounded at a rate of $9\%$ per annum?

$(6$ marks$)$

c$)$ Using Rule of $72,$ if you plan to double the amount of RM$5000$ in five $(5)$ years time, what would be the interest rate?

$(4$ marks$)$

d$)$ How do engineers evaluate feasible alternative projects? Give an example to show your understanding.

$(6$ marks$)$

$\backslash$table$[[$Working formulae for Engineering Economics. The notations carry their usual meanings.$],[F=P(1+i{)}^n,P=F[\frac{\text{I}}{(1+i{)}^n}],A=F[\frac{i}{(1+i{)}^n-1}],F=[\frac{(1+i{)}^n-1}{i}],A=P[\frac{i(1+i{)}^n}{(1+i{)}^n-1}],P=A[\frac{(1+i{)}^n-1}{i(1+i{)}^n}]$