The solution obtained with QM for Window for a problem is given in the following table. Where X1 =number of large storage rooms X2 = number of small storage rooms x Linear Programming Results (untitled) Solution X1 RHS Dual 30 20 20 40 0 Maximize Constraint 1: advertising budget available Constraint 2: square footage required Constraint 3: rental limit expected Solution-> 4000 8000 50 4 100 1 0 60 10 60 40 3800 Ranging (untitled) Solution Variable X1 X2 Value Reduced Cost 60 40 Dual Value Slack/Surplus 0 1200 .4 0 10 0 Original Val 50 20 Original Val 4000 8000 60 Lower Bound 40 0 Lower Bound 2800 6000 40 Upper Bound Infinity 25 Upper Bound Infinity Constraint 1: advertising budget available Constraint 2: square footage required Constraint 3: rental limit expected 9500 80 a. For the optimal solution, how much of the advertising budget is spent? steps required b. For the optimal solution, how much square footage will be used? steps required c. Would the solution change if the budget were only $3,000 instead of $4,000? How. d. What would the optimal solution be if the profit on the large rooms were reduced from $50 to $45? Explain e. How much would earnings increase if the square footage requirement were increased from 8,000 to 9,000? Explain