Problem 3-02 (Algorithmic) Consider the following linear program: Max 3A + 28 st. 1A + 18 5 9 3A + 18 s 24 1A+28 16 A, B20 The value of the optimal solution is 25.5. Suppose that the right-hand side of the constraint 1 is increased from 9 to 10 a. Use the graphical solution procedure to find the new optimal solution B () 3 B 26+ 24 22 20 18-1 22 20 18+ 16 16 14 12 10 8 Optimal Solution A-0,38 3A + 2B - 16 12 10 8 A Optimal Solution A-6.4, B-4.8 3A + 2B-28.8 6- 4 4 2 8 10 12 14 16 18 20 10 12 14 16 18 20 B (III) ( Check My Workmore Check My Work uses remaining All work saved. MacBook Air 7 signment/rake AssignmentMain.doFinker-StassignmentSessionlocatorinprogress-false book 010 (1) 26- 14 23 24 22 20 20 16 14 2 LO Opcimal Solution A 7,3- 3A2B-27 Optimal Solution A10-0 SA+2-30 6 4 6 10 12 14 16 18 20 6 10 12 14 16 18 20 Graph (1) use the solution to it (a) to determine the dual value for constraint 1. It required, round your answer to 1 decimal place Dual Value The computer Solution for the linear program in Problem provides the following right-hand de range information Constraint 1 RHS Value 9.00000 2400000 16.00000 Allowable Increase 220000 3.00000 Inne Allowable Decrease 1.00000 11 00000 5.50000 1 Wat does the rat hand-drinformation for constraint tell you about the daily for constraint 1? oured, round your answers to live de Previous Check My Work or Check My Wankemaring Al Wave Save and Suman MacBook Air 09 FE Fle $ % 5 & 7 * 0 6 9 0 14 6 TO 12 14 16 18 20 +LA 6 8 10 12 14 16 18 20 Graph (1) b. Use the solution to part (a) to determine the dual value for constraint 1. If required, round your answer to 1 dedmal place, Dual Value: 1.5 c. The computer solution for the linear program in Problem 1 provides the following right-hand side range information: Constraint 1 2 RHS Value 9.00000 24.00000 16.00000 Allowable Increase 2.20000 3.00000 Infinite Allowable Decrease 1.00000 11.00000 5.50000 What does the right-and-side range Information for constraint 1 tell you about the dual value for constraint 1? If required, round your answers to five decimal places. The right-hand-side range for constraint is 8 to 11.2. As long as the right-hand side stays within this range, the dual value is applicable d. The dual value for constraint 2 is 0.5. Using this dual value and the right-hand-side range information in part (c), what conclusion can be drawn about the effect of changes to the right-hand side of constraint 2? If required, round your answers to 1 decimal place. The improvement in the value of the optimal solution will be 0.5 for every unit increase in the right-hand side of constraint 2 as long as the right-hand side is between and Check My Work 3 more Check My Work uses remaining