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Using the five digits 5,6,7,8, and 9 once each to form a two-digit number and a three-digit number, what combination will result in the highest product if the three-digit number is multiplied by the two-digit number?

Any advances on 965 x 87 = 83955?

96*875 = 84000?
sort of agrees with a similar problem here;
http://fawnnguyen.com/multiplication-finding-the-greatest-product/
not a mathematical proof though, i wouldn't know where to start with that.

96 x 875 = 84 000

I tried to reduce this to equation(s) but this is brute force

btw, you can use * as a multiplication sign in google - i don't have a calculator.

This is the type of fun mathematics that got me into the branch of the subject called Algebraic Number Theory ... many, many moons ago! Thanks for the memory.