Problem 3-02 (Algorithmic) Consider the following linear program: Maxs.t.3A+2B1A+1B83A+1B211A+2B14A,B0 The value of the optimal solution is 22.5. Suppose that the right-hand side of the constraint 1 is increased from 8 to 9 . The value of the optimal solution is 22.5. Suppose that the right-hand side of the constraint 1 is increased from 8 to 9 . a. Use the graphical solution procedure to find the new optimal solution. (i) ii) (iii) iv) b. Use the solution to part (a) to determine the dual value for constraint 1 . If required, round your answer to 1 decimal place. Dual Value: c. The computer solution for the linear program in Problem 1 provides the following right-hand-side range information: What does the right-hand-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 1 is to . As long as the right-hand side stays within this range, the dual value 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 conclusior 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 for every unit increase in the right-hand side of constraint 2 as long as the right-hand side is between and