Question

Zach is planning to invest up to $50,000 in corporate and municipal bonds. The least he will invest in corporate bonds is $6000 and he does not want to invest more than $27,000 in corporate bonds. He also does not want to invest more than $34,650 in municipal bonds. The interest is 8.5% on corporate bonds and 6.8% on municipal bonds. This is simple interest for one year. What is the maximum income?

Answer 1

let Zach invest in corporate bonds=x
and investment in munucipal bonds=y
x+y=50,000
\[6000\le x \le 27000\]
\[y \le 34,650\]
income \ |dw:1627244202555:dw|

Answer 2

we have to find Income at D and E.
and see where it is maximum.