I am trying to find a solution for with an explanation. please good reviews will be given

Solve the following problems by using the inverse of the matrix involved. (a) An automobile factory produces two models, A and B. Model A requires 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 50 labor hours available for painting and 40 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 10 widgets and 14 shims and each model B requires 7 widgets and 10 shims. The factory can obtain 730 widgets and 1030 shims each hour. How many cars of each model can it produce while using all the parts available? (a) Model A: Model B