Answer
a) $7350$ $euros$
b) $26700$ $euros$
c)
$F'(0.5)$ = $0.89$
Estimate income = $26700$ $euros$
which is less than the national average
Work Step by Step
a)
$F'(0.4)A$ = $0.245\times30000$ = $7350$ $euros$
b)
$\frac{F(0.6)-F(0.4)}{0.2}\times{A}$ = $\frac{0.423-0.245}{0.2}\times{30000}$ = $26700$ $euros$
c)
$F'(0.5)$ = $\frac{F(0.6)-F(0.4)}{0.2}$ = $\frac{0.423-0.245}{0.2}$ = $0.89$
Estimate income
$F'(0.5)A$ = $0.89\times30000$ = $26700$ $euros$
which is less than the national average