Question 1. Please answer to the questions which is based on following model using both solution approaches of graphical method (i.e. Objective function Line Method and Extreme-point evaluation Method) Assume that this formulation belongs to a product mix problem and the decision variables here is how many of product 1 (Tables) and product 2 (Chairs) should be produced? Moreover, there are two resources that need to be used for the production. First is available carpentry time and the second one is painting hours. Here is the complete model: x:#of produced tables ; x :#of produced chairs Max Z = 7x, + 5x2 Subject to 3x + 4x2 s 2400 (carpentry hours) 2x, + x2 100 *, *220 Part 1. What if the profit contribution for tables changed from $7 to $8 per table? What will happen to optimal solution and optimal profit function? Part 2. What if the profit contribution for tables changed from $7 to $11 per table? What will happen to optimal solution and optimal profit function? Part 3. What if the profit contribution for tables changed from $7 to $3 per table? What will happen to optimal solution and optimal profit function? Part 4. What if painting hours available changed from 1000 to 1300? What will happen to optimal solution and optimal profit function