Question 1126126
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Let x be the sum invested in the money market.


Then the sum invested in stocks should be 5x, The the sum invested in bonds should be 10x, according to the condition.


The total investments equation is


    x + 5x + 10x = 100000      dollars,


which gives


    16x = 100000,  and hence

    x = {{{100000/16}}} = 6250  dollars.


Thus the investments should be  $6250 in money market;  $6250*5 = $31250 in stocks  and  $6250*10 = $62500  in bonds.


Now, let us check the annual income.  At calculated investments, it should be


    0.04*6250 + 0.08*62500 + 0.12*31250 = 9000 dollars.


It shows that at given conditions the problem HAS NO solution.



<U>Answer</U>.  The problem is over-defined; in other words, it has TOO MANY conditions that do not agree each other.

         Therefore, at given conditions the problem HAS NO solution.
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