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

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) (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%
RELATED QUESTIONS
A financial consultant wishes to invest up to a total of $30,000 in two types of... (answered by ikleyn)

Mark has $100,000 to invest. His financial consultant advises him to diversify his... (answered by ikleyn,josgarithmetic)

Mark has $100,000 to invest. His financial consultant advises him to diversify his... (answered by Theo)

Last year, Carlos had $30,000 to invest. He invested some of it in account that paid 10%... (answered by greenestamps)

Please help me solve. Mike has $235,000 he wishes to invest in two rental properties. One (answered by ikleyn)

Last year, Ivanna had $10,000 to invest. She invested some of it in an account that paid... (answered by josgarithmetic)

Last year, Dan had $10,000 to invest. He invested some of it in an account that paid 5%... (answered by josgarithmetic,greenestamps)

Last year, Kareem had $10,000 to invest. He invested some of it in an account that paid... (answered by ikleyn)

Last year, Lucy had $10,000 to invest. He invested some of it in an account that paid 9%... (answered by ikleyn)