Dorsey Company manufactures three products from a common input in a joint processing operation. Joint processing costs up to the split$-$off point total $$370,000$ per quarter. For financial reporting purposes, the company allocates these costs to the joint products based on their relative sales value at the split$-$off point. Unit selling prices and total output at the split$-$off point are as follows:

$\backslash$table$[[$Product$,$Selling Price,Quarterly Output$],[$A$,$$$24\mathrm{.}00$ per pound,$13,800$ pounds$],[$B$,$$$18\mathrm{.}00$ per pound,$21,500$ pounds$],[$C$,$$$30\mathrm{.}00$ per gallon,$5,000$ gallons$]]$

Each product can be processed further after the split$-$off point. Additional processing requires no special facilities. The additional processing costs $($per quarter$)$ and unit selling prices after further processing are given below:

$\backslash$table$[[,\backslash$table$[[$Additional$],[$Processing$],[$Costs$]],],[$Product$,$Selling Price,$],[$A$,$$$81,150,$$$29\mathrm{.}50$ per pound$],[$B$,$$$117,125,$$$24\mathrm{.}50$ per pound$],[$C$,$$$52,900,$$$38\mathrm{.}50$ per gallon$]]$

Required:

What is the financial advantage $($disadvantage$)$ of further processing each of the three products beyond the split$-$off point?

Based on your analysis in requirement $1,$ which product or products should be sold at the split$-$off point and which should be processed further?