3. In the product mix example from Lecture 5, Quick-Screen is considering adding some extra operators who would reduce processing times for each of the four clothing items by 10%. This would also increase the cost of each item by 10% and thus reduce unit profits by this same amount (because an increase in selling price would not be possible). (a) Can this type of sensitivity analysis be evaluated using only the original solution out- put, or will the model need to be solved again? Should Quick-Screen undertake this alternative? Consider now the original formulation of the problem, prior to making the changes above. (b) After solving the problem on Excel, the solution output shows that the shadow price for T-shirts is $4.11. If Quick-Screen decided to acquire extra T-shirts, by how much could it increase its profit? (Hint: You will need to look at the entire sensitivity report.) (c) If Quick-Screen produced equal numbers of each of the four shirts, how would the com- pany reformulate the linear programming model to reflect this condition? What is the new solution to this reformulated model