Apension fund manager decides to invest a total of at most $30 million in u. s. treasury bonds paying 6% annual interest and in mutual funds paying 9% annual interest. he plans to invest at least $5 million in bonds and at least $10 million in mutual funds. bonds have an initial fee of $100 per million dollars, while the fee for mutual funds is $200 per million. the fund manager is allowed to spend no more than $5000 on fees. how much should be invested in each to maximize annual interest? what is the maximum annual interest?

The goal here is to invest as much in mutual funds as possible while keeping the fees under $5000 because mutual funds pay more interest.

If $30 million mutual, fees = (30*200)=6000

Each one million dollar that we shift from mutual funds to treasury will result in a $100 reduction in fees

For Example 29 million in mutual fund, 1 million in treasury, fee= (29*200)+100=5900

So in order to get the fees down to 5000 we have to invest $10 million in treasury and $20 million in mutual funds, this will maximize our interest income while keeping fees less than $5000

(20 *200)+(10*100)=5000

Explanation:

say it in english maybe we can

the correct answer is d. wealthy colonists to take care of the less fortunate. hope this