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How much money should be placed in each of maximizing profit?

Thus, pre-calculus, we make two objective functions and constraints, etc., and I need help with this equation: A retired couple has $ 60,000 to invest in fixed income securities. His adviser Financial suggests two titles, the AAA bond yields of 9% per annum and a certificate of deposit (CD) that yields 4%. The couple decided to invest all than $ 25,000 in bonds AAA and at least $ 10,000 for the CD. They also ask their adviser to at least as much on the CD, as in the AAA link. I need the objective function and constraints.

Let x = the amount to be invested in the bond AAA Let y = amount to invent the CD Your objective is to maximize the performance, So in terms of x and y: 0.09x + 0.04y Maximize Subject to the constraints: x + y <= 60000 – Total amount that can be invested x <= 25,000 – rather than 25K Bond y> = 10.000 – held at least 10K in CD y – x> = 0 – place at least as much in the CDs in bonds AAA The optimal solution is: x = 25.000 and y = 35,000, for a maximum return of $ 3650

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