Arcadia,Inc ADetermine Which Products Should Be Processed Further

Arcadia,Inc.,uses a joint process to produce Products W,X,Y,Z.Each product may be sold at its split-off point or processed further.Additional processing costs of specific products are entirely variable.Joint processing costs for a single batch of joint products are $200,000.Other relevant data are as follows:
$\begin{array}{cccc}&&&\text { Sales Value of Final }\\\underline{\text { Product}}&\underline{\text { Sales Value at Split-off }}&\underline{\text { Additional Processing Costs }}& \underline{\text { Product }}\\\mathrm{W} & \$ 40,000 & \$ 24,000 & \$ 70,000 \\\mathrm{X} & 16,000 & 10,000 & 20,000 \\\mathrm{Y} & 20,000 & 10,000 & 48,000 \\\mathrm{Z} & \underline{2 4 , 0 0 0} & \underline{16,000} & \underline{36,000} \\&\underline{\$100,000} & \underline{\$ 60,000} &\underline{ \$ 174,000}\end{array}$
a.Determine which products should be processed further.
b.How will processing each product further affect profits?