How can I reduce variance in this LP problem?

Hi all,

I have a simple LP problem:

Objective Function:
Set Value x_1 + x_2 + x_3 = 1000

And if I plug this into Excel Solver with the standard LP engine,
solver gives me these results:
x_1 = 1000
x_2 = 0
x_3 = 0

Which is a problem for me since I would like the result to be
distributed evenly amongst its variables such as:
x_1 = 333.33
x_2 = 333.33
x_3 = 333.33

How can I refine my LP problem to minimize variance of my results?
What type of problem would this consider to be?

-Steve

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