business_math_securities

[wwf]

i want to invest up to 10,000 in two types of securities, one that yeilds 9% per year and another that yeilds 10% per year. Furthermore, i believe the amount invested in the second security should be at least twice the amount invested in the first security. What investment program should i pursue in order to maximized my income? What is my maximum income? p.s. could you show the me the formulas included in the answer, thanks i know it would seem to be simple enuff for the layman, but it think i'm looking for a min. an max.? i'm really not bad at algebra but these word problems are causing me some grief, i hope no one is upset with me maybe this question does require a few more calculations and PLUG INS, STEPS, but i know i can get it i'm almost there but not quite...............eek

 

[Denis]

Did you make that up? A few problems with your scenario:
1: "up to 10000" in 2 investments with one being at least twice the other means possibly $1 and $2 ; understand?
2: is the one that's "twice the other" 9% or 10%?
3: you're using "I believe...."; that's a no-no in mathematics.

The way you've worded it, answer HAS to be: $1 at 9% and $9999 at 10% (.01 and 9999.99 possible!) :
"up to 10000" permits this, $9999 is at least twice $1, 10% is rate on higher amount (since not specified).

If you need help with something similar, please provide an ACTUAL problem with no guess-work.