Maximize 30x +20y

2x+y <80(Machine 1)

X+3y <80 (Machine 2)

X,y > 0 (non negativity condition)

Calculate the optimal product mix.

One of the managers examined your LP model and noted that you did not take into account the requirement to run a quality assurance process for product 1 and 2. She told you that it takes 10 minutes to complete the quality assurance of a product (regardless if it is product 1 or 2) and that there are 10 hours a week available for performing the quality assurance.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.