6. Consider the following LP problem, in which X and Y denote the number of units of products X a to produce, respectively: Maximize profit = $5X+$5Y subject to the constraints 2X+3Ys60 (resource 1) 4X+2Y$80 (resource 2) Xs 18 (resource 3) X,Y20 (nonnegativity) The Excel Sensitivity Report for this problem is shown below. Calculate and explain what happens to optimal solution for each of the following situations. Each question is independent of the other questions. Variable Cells Fina Reduce Allowab Allowab d Objective le le Valu Coefficie Decreas Cell Name e Cost nt Increase e $B$ Solution value 15.0 4 X 0 0.00 5.00 5.00 1.67 $C$ Solution value 10.0 4 Y 0 0.00 5.00 2.50 2.50 Constraints Fina Shado Constrai Allowab Allowab W nt le le Valu Decreas Cell Name e Price R.H. Side Increase e $D$ 60.0 7 Resource 1 0 1.25 60.00 60.00 12.00 $D$ Resource 2 80.0 0.63 80.00 8.00 40.00