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Compute the maximum product for two positive numbers x and y with the property that the sum of the first plus five times the second is 5000.

1) Indicate the objective equation
2) Indicate the constraint equation

I put x+5y=5000. Is this correct.

  • Math(Urgent) -

    objective function f(x)=xy
    constraint: x+5y=5000

  • Math(Urgent) -

    For the same question:

    3) Rewrite the objective function in terms of the variable x only.

    I out x=5000-5y

    4) For which value of x does the objective function attain its maximum?
    Do I have to take the derivative?

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