Craylon Corp Has Two Service Departments,S1 and S2,and Two Production

Craylon Corp has two service departments,S1 and S2,and two production departments,P1 and P2.
The data for April were as follows:
$$\begin{array} { | l | l | c | c | c | c | } \hline & & { \text { Services provided to: } } \\\hline \text { Activity } & \text { Costs } & \text { S1 } & \text { S2 } & \text { P1 } & \text { P2 } \\\hline \text { S1 } & \$ 100,000 & & 20 \% & 40 \% & 50 \% \\\hline \text { S2 } & \$ 80,000 & 10 \% & & 55 \% & 25 \% \\\hline & \text { Fixed Costs } & & & & \\\hline \text { P1 } & \$ 400,000 & & & & \\\hline \text { P2 } & \$ 500,000 & & & & \\\hline\end{array}$$ Required:
a.Set up algebraic equations in linear form for each activity.
b.Determine total costs for each department by solving the equations from part (a)using the reciprocal method.