Final answer:
The question is related to linear programming and requires finding a new optimal solution after changing the right-hand side constraints. A step-by-step solution cannot be given due to incomplete information, but methods like the Simplex or Graphical Method are typically used for such optimization problems.
Step-by-step explanation:
The question asked is related to linear programming, specifically finding a new optimal solution when the right-hand side constraints are altered. In this case, the constraints have been changed to b^T=<10 19 8>^T. To find the new optimal solution, one would typically use either the Simplex Method or Graphical Method, depending on the complexity of the problem and the number of variables.
However, due to the lack of complete information provided in the question and the context for the terms and functions, accurate calculations cannot be performed. Thus, a step-by-step solution cannot be outlined. Understanding linear programming and applying the methods mentioned above are crucial to solve such optimization problems.