Consider the following linear program. Min 8X + 12Y s.t. 1X + 3Y 29 2x + 2Y = 1 6X + 2Y = 1 X, Y 20 (a) Use the graphical solution procedure to find the optimal solution. (Graph the constraint lines, the feasible region, the objective func 10 Graph Layers K After you add an object to the graph you can use Graph Layers to view and edit its properties No Solution WebAssign Graphing Tool What is the value of the objective function at the optimal solution? at (x, n- (*) Assume that the objective function coefficient for changes from 3 to 6. Use the graphical solution procedure to find the new optimal solution (Graph the constraint in the region the objective function line, and the optimal solution) Orph Layer Mher you add another you can Oraph Layers to view was properties Web Does the optimal to change The extreme Select optimal. The value of the active and becomes (c) Assume that the objective function coefficient for remains , vt the objective function codent for changes from 126 the pretend the solution (Graph the constraint lines, the feasible region, the objective function line, and the optimal solution) Graph Layers Af you do the Website Does the optimal solution change? - optimal. The value of the objective function becomes The extreme point (d) The computer solution for the near program in part (a) provides the following objective client range Wormation Objective Coefficient Variable Allowable Increase Allowable Decrease 4.00000 4.00000 X 8.00000 12.00000 4.00000 12.00000 Does the optimal solution change? The extreme point Select optimal. The value of the objective function becomes (d) The computer solution for the linear program in pert (a) provides the following objective concentrange Information Variable Objective Allowable Allowable Coefficient Increase Decrease x 8.00000 4.00000 4.00000 Y 12.00000 12.00000 4.00000 How would this objective coefficient range information help you answer parts (D) and (c) prior to resolving the problem? The objective coefficient range for variable is to Since the change in part) -Gelect this one, we know the optimal solution ange. The objective coefficient range for variables Since the change in parte This range, we know the optimal solution chana. Need Help? 2. (13/13 Points DETAILS PREVIOUS ANSWERS ASWMSC115 3.1.007 MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Investment Advisors, Inc. is a brokerage firm that manages to portfolios for a rumber of particular portfolio core of the us. Ohares of Huberthen return for us. 3 per share and the return for Huber Steware U.S. O for 2 pershare and pubertet for photo Invested. The portfolio index 0.50 per of us and 0.25 per share for Huber Shamsimum 700. In the part om Lowes.cl The linear programming formation that will mame the totalul turn of the portfolio USH Maximilannetun . 35USO 50.000 Fundsave 0.SOU + 0,25 700 immm 1,000 US Olmadimum MacBook Air U 2 20 000 PI 1: ese