Solve the following problems by using the inverse of the matrix involved (a) An automobile factory produces two models, A and B Model Arequires 1 labor hour to paint and labor hour to polish, model B requires 1 labor hour for each process. During each hour that the assembly line is operating, there are 80 labor hours available for painting and 70 labor hours for polishing. How many of each model can be produced each hour if all the labor hours available are to be utilized? (b) Suppose each model A requires 14 widgets and 10 shims and each model requires 10 widgets and 7 shims. The factory can obtain 1010 widgets and 715 shims each hour. How many cars of each model can it produce whille using all the parts avallable? (a) Model A Model B