Question 11: Consider the original formulation of the problem as you determined in question #1: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 that you determined in question 5(and which you verified in question 6)? If yes, how would the optimal solution change? If not, explain why the new constraint does not change the optimal product mix.

Question 12: Consider the original formulation of the problem as you determined in question #1: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 that you determined in question 5(and which you verified in question 6)? If yes, how would the optimal solution change? If not, explain why the new constraint does not change the optimal product mix.

Question 1 (for question 11 &12)

A unit of Product 1 requires 2 hrs on machine 1 and 1 hr on machine 2.

For Product 2, a unit requires 1 hr on machine 1 and 3 hrs on machine 2.

The profit per unit of Products 1 and 2 are $30 and $20, respectively.

The total weekly processing time available for each machine is 80hrs.