A person has 30000 to invest As the persons financial consul

A person has $30,000 to invest. As the person\'s financial consultant, you recommend that the money be invested in Treasury bills that yield 4%, Treasury bonds that yield 8%. and corporate bonds that yield 12%. The person wants to have an annual income of $2280. and the amount invested in corporate bonds must be half that invested in Treasury bills. Find the amount in each investment. What is the solution? Select the correct choice below and fill in any answer boxes within your choice. There is one solution. The amount in treasury bills is $ the amount in treasury bonds is $ and the amount in corporate bonds is $ (Type integers or decimals.) There are infinitely many solutions. The amount in treasury bills is $ the amount in treasury bonds is $ and the amount in corporate bonds is $z. where z is any real number. (Simplify your answers.) There is no solution.

Solution

let the amt invested in treasury bills be $x ,

interest = x*0.04 = 0.04x

treasury bonds be $y

interest = y*0.08 = 0.08y

and corporate bonds be $z

interest = z*0.12 = 0.12z

further: z = x/2

So interest on corporate bonds = 0.12*x/2) = 0.06

Total annual income required = $2280

0.04x +0.08y +0.06x = 2280

0.1x +0.08y = 2280 ----(1)

x +y +z = $30000

x +y +x/2 = 30000

3x/2 +y = 30000 -----(2)

x = $6000 ; y= $21000

z= = $3000

One solution

Option A