TreatyTreat, Inc., purchases soybeans and processes them into the following three types of products: dog biscuits, cat food, and chicken feed. These products are the result of a joint process. In a typical month, there are total joint costs of $$323,000.$ The dog biscuits and chicken feed are sold after being pressed into various shapes without further processing by TreatyTreat. $($i$.$e$.$ the fully$-$processed sales price is the same as the sales price at the point of split$-$off.$)$ The cat food must be further mixed with vitamins. If the cat food spoils during the vitamin$-$adding process, the product can still be sold for fertilizer at $$5\mathrm{.}30$ per unit. $($Hint$,$ this would be the sales value of the cat food at the split$-$off point.$)$ The additional processing of cat food costs TreatyTreat $$27,300$ per month.

Product yield and average sales vaiue on a per$-$unit basis from the joint processes are as follows:

$\backslash$table$[[,$Monthly Fully Processed,$],[$Product$,$Output,Sales Price$],[$Dog Biscuits,$56,000,$$$2$