please show work because it is going to be in my test and i need to understand how to do it.

thank you

Ralph Enterprises has two support departments (S1 and S2) and two producing departments (A and B). Information is summarized in the following table S1 $55,440 S2 $124,000 140 $568,000 90 17,500 Direct costs $712,000 270 22,500 # of employees Machine hours Assume Ralph uses the reciprocal method. (1) Write down the equation system that are needed to solve for the reciprocated costs 10,000 of the support departments (2) Determine the cost allocated from S2 to S1 (3) Determine the cost allocated from S1 to B (4) Determine the total costs for Department A after allocation