What is the perfect strategy for each player in this 2 by 4 array game?

[JimBob81345]

My teacher gave our class this problem to do
Two players take turns placing an unused number from
{1; 2; 3; 4; 5; 6; 7; 8} into one of the empty squares in a 2 by 4 array. The game ends once all the squares are tiled. The 1st player wins if the product of the numbers in the top row is greater. The second
player wins if the product of the numbers in the bottom row is greater. What is the perfect strategy for each player.
Please help me, if you cannot provide the answer please give me a hint. This problem has been bugging me for so long.

 

[fresh_42]

Hello and welcome to PF!

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https://www.physicsforums.com/forums/precalculus-mathematics-homework.155/

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