struggling to figure out the solution for this. give me the right numbers with explanation. good reviews will be given and thank you.

1.

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:The economy of a small island nation is based on two sectors, agriculture and tourism. Production of a dollar's worth of agriculture requires an input of $0.36 from agriculture and $0.50 from tourism. Production of a dollar's worth of tourism requires an input of $0.46 from agriculture and $0.25 from tourism. Find the output from each sector that is needed to satisfy a final demand of $32 million for agriculture and $47 million for tourism. The output from the agriculture sector is approximately $ million. (Round to the nearest million.)