SOLUTION: A financial consultant wishes to invest up to a total of $30,000 in two types of securities, one that yields 10% per year and the other yields 8% per year. Furthermore, she belie

Algebra ->  Linear-equations -> SOLUTION: A financial consultant wishes to invest up to a total of $30,000 in two types of securities, one that yields 10% per year and the other yields 8% per year. Furthermore, she belie      Log On


   

Question 917928: A financial consultant wishes to invest up to a total of $30,000 in two types of securities, one that
yields 10% per year and the other yields 8% per year. Furthermore, she believes that the amount
invested in the first security should be at most one-third of the amount invested in the second security.
What investment program should the consultant pursue in order to maximize income?
Answer by Hawksfan(61) About Me  (Show Source):
You can put this solution on YOUR website!
Lets first identify our variables:
lets let x = first security at yields 10%
3x = second security at 8%

Add them together to get

x + 3x = 30,000

4x = 30000
x = $7500 at 10%
3x = $22500 at 8%