Consider the example for case 1 of sensitivity analysis given in Sec. 6.7, where the initial simplex tableau of Table 4.8 is modified by changing b2 from 12 to 24, thereby changing the respective entries in the right-side column of the final simplex tableau to 54, 6, 12, and 2. Starting from this revised final simplex tableau, use the dual simplex method to obtain the new optimal solution shown in Table 6.21. Show your work.