Posted by **Hannah** on Sunday, February 27, 2011 at 8:53pm.

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) -
**bobpursley**, Sunday, February 27, 2011 at 8:55pm
objective function f(x)=xy

constraint: x+5y=5000

- Math(Urgent) -
**Hannah**, Sunday, February 27, 2011 at 9:26pm
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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