Dorsey Company manufactures three products from a common input in a joint processing operation. Joint processing costs up to the split$-$off point total $$98,000$ per quarter. The company allocates these costs to the joint products on the basis of their relative sales value at the split$-$off point. Unit selling prices and total output at the split$-$off point are as follows: ProductSelling Price QuarterlyOutputA$$4$ per pound $12,000$ poundsB$$5$ per pound $17,000$ poundsC$$13$ 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: ProductAdditionalProcessing CostsSelling PriceA$$44,000$ $$7$ per pound B$$40,000$ $$9$ per poundC$$11,500$ $$16$ per gallon Required:a$.$Compute the incremental profit $($loss$)$ for each product.