Finite Word Problem SOS

Question

Youve invested a total of $34,200 in four funds: Acorn [1.5%], Bailey [2%], Concourse [3.5%], and Delta [4.2%]. The quarterly percent of return for the four funds are give in []. Your investments gave a yield of $1014 for last quarter. If the amount invested in Acorn and Bailey would have been switched and the amount invested in Concourse and Delta would have also been switched, the total return on your investment  would have decreased by $12.Finally the amount invested in concourse was the average or the amounts invested in Bailey and Delta. 1. How much was invested in each fund? 2. What was the percentage of return on your total investment? 3. How much would have been made if the total amount invested would have been equally invested in the two funds with the higher return? 4. If the investment would have been made as suggested in #3 what would be the percent of return? 

 

If anyone could answer any part of this I would be extremely appreciative!

Answer 1

Looks a bit like a linear programming problem -- brush up your matrix math and good luck :-)