Question: Maximize 30x +20y 2x+y <80(Machine 1) X+3y <80 (Machine 2) X,y > 0 (non negativity condition) Calculate optimal product mix. One of the managers examined

Maximize 30x +20y

2x+y <80(Machine 1)

X+3y <80 (Machine 2)

X,y > 0 (non negativity condition)

Calculate optimal product mix.

One of the managers examined your LP model and noted that you did not take into account the requirement that a total of at least 60 products will be produced each week.Would this new constraint change the optimal product mix ? If yes, how would the optimal solution change? If not, explain why the new constraint does not change the optimal product mix.

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