Beta Company makes two products: Base A and Base B.

The products are usually sold at the end of a joint process Base A is sold for $40 per gallon and Base B is sold for $50 per gallon. If the products were processed further Base A would be sold for $75 per gallon and Base B would be sold for $100 per gallon. It will cost an additional $30 to process Base A further and an additional $45 to process Base B further.

Required: Should either product be processed further. Show your work.