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Not As Easy As Adding

Suppose that a,b,c,da, b, c, d are positive real numbers such that

ab1000,  ac1000,  bd1000,  cd500. ab \leq 1000, ~~ac \leq 1000, ~~bd \leq 1000, ~~cd \leq 500.

What is the maximum possible value of ab+ac+bd+cd ab+ac+bd+cd?

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