Problem 1: Sensitivity Analysis with Computer Output (12 points) The LP problem whose output follows is for maximizing profit and has 4 decision variables designated as x1 to X4. Those decision variables represent how many necklaces, bracelets, rings, and earrings a jewelry store should stock (in that order). The objective function measures profit; assume that every piece stocked will be sold. Constraint 1 sets maximum amount of display space available; constraint 2 sets maximum amount of time available to set up the display (in minutes); constraints 3 and 4 are marketing restrictions. Use the sensitivity report (ranging output) shown below to answer the questions that follow: Optimal Solution Printout: Variable Value X1 = necklaces 8.000 X2 = bracelets 0.000 X3 = rings 17.00 X4 = earrings 33.00 Constraint Slack/Surplus 1-space 0.000 2 = set up time 63.00 3 marketing 0.000 4 = marketing 0.000 Reduced Cost Lower Bound 0.0000 87.50 5.0000 No lower limit 0.0000 125.00 0.0000 120.00 Dual value Lower Bound 75.000 100.00 0.0000 57.00 25.000 8.00 -25.000 41.50 Original Value 100.00 120.00 150.00 125.00 Original Value 108.00 120.00 25.00 50.00 Upper Bound No upper limit 125.00 162.50 150.00 Upper Bound 123.75 No upper limit 58.00 54.00 (2 point) If the RHS value of constraint 4 changes to 45, what will be the amount of change to Z? $_ 125.000 i ncrease (point) What kind of change will that be (mark with an X)? decrease PS: Please answer this question only if you are sure and give a little explanation