her: 4. The output below is from a linear programming model where the intention was to maximize profit X1 represented the number of adult ticket sales and X2 represented the number of child ticket sales. Answer the questions below. Optinal Solution Objective Function Value 300.000 15x+254 300 Variable Value Reduced Costs 15x +25(0) 300 15 000 0 000 IS X2 0 000 25 000 X1 L2D (20,0) (0, 12) Constraint Slack Surplus Dual Prices 1 2 3 4 30.000 0.000 5.000 80.000 0.000 5.000 0.000 0.000 OBJECTIVE COEFFICIENT RANGES Variable Lover Linit Current Value Upper Limit 1 X2 13 333 No Lover Limit 20.000 50.000 No Upper Limit 75.000 RIGHT HAND SIDE RANGES Constraint Lover Linit Current Value Upper Limit 1 2 2 4 30.000 40.000 No Lover Linit 0.000 60.000 60.000 10.000 80.000 No Upper Limit 120.000 15.000 No Upper Limit A. State the objective function B. What is the maximum profit? C. How many adult tickets should be sold to maximize profit? D. How many child tickets should be sold to maximize profit? E. What are the total unused resources for constraint 4? F. If the profit per child ticket was to increase to $65, would the optimal solution change? G. If the second constraint could experience an increase from 60 to 61, what would be the change in the value of the profit? 4. The output below is from a linear programming model where the intention was to maximize profit. XI represented the number of adult ticket sales and X2 represented the number of child ticket sales. Answer the questions below. Optinal Solution Objective Function Value - 300.000 Variable Value Reduced Costs X1 X2 15.000 0.000 0 000 25.000 TS Constraint Slack/Surplus Dual Prices 1 2 30.000 0.000 5.000 80.000 0.000 5.000 0.000 0.000 4 OBJECTIVE COEFFICIENT RANGES Variable Lover Limit Current Value Upper Lixit X1 X2 13.333 No Lover Lixit 20.000 50.000 No Upper Limit 75.000 RIGHT AND SIDE RANGES Contraint Lever Limit Current Valu Upper Limit 1 2 30.000 40.000 No Lover Limit 0.000 60.000 60.000 10 000 00.000 No Upper Limit 120.000 15.000 Ko Upper Linit 1 A. State the objective function B. What is the maximum profit? C. How many adult tickets should be sold to maximize profit? D. How many child tickets should be sold to maximize profit? E. What are the total unused resources for constraint 4? F. If the profit per child ticket was to increase to $65, would the optimal solution change? G. If the second constraint could experience an increase from 60 to 61, what would be the change in the value of the profit