P$15\mathrm{.}5($LO $1,\backslash (\backslash$underline$\{2\},\backslash$underline$\{3\},\backslash$underline$\{4\})\backslash ),$ AP Renke Inc. is in the corn$-$milling industry but to date has had only enough manufacturing space for one joint process. Renke refers to its two products as prime products and by$-$products. There is a market for both products, but, as the names imply, the prime products are what Renke got into business to sell, as the prime products' sales price far exceeds that of the by$-$products. In a typical production run, which costs $\backslash (\backslash$$ $60,000\backslash ),$ Renke Inc. produces the following products, which can be sold at the prices shown. Because Renke's customers $($the corn processors$)$ count on purchasing top$-$quality raw material from Renke, it is important that the company maintains a steady amount of inventory. For this reason, Renke never completely sells out of its products. For the current production run, managers plan to sell $\backslash (80\backslash \%\backslash )$ of each product immediately, holding $\backslash (20\backslash \%\backslash )$ in inventory to carry into the next period. Required a$.$ Record the journal entries to recognize the completion of the products through the sale of both products if the production method is used to account for by$-$products. b$.$ Record the journal entries to recognize the completion of the products through the sale of both products if the sales method is used to account for by$-$products. c$.$ Prepare a partial income statement $($through gross margin$)$ to account for the revenues and costs associated with one production run, as well as the inventory section of the balance sheet to recognize the cost of any products held in inventory after one production run, under both methods: $(1)$ the production method and $(2)$ the sales method. d$.$ Given the financial statement information that was prepared in part $($c$),$ comment on the usefulness of each method for an internal user$/$preparer$.$ e$.$ If the prime product could be processed further at a total cost of $\backslash (\backslash$$ $20,000\backslash )$ but the additional process would result in a $\backslash (10\backslash \%\backslash )$ loss of volume, how much revenue per pound would this company need to generate in order for it to be worth the extra work? Prepare partial income statements and inventory sections of the balance sheet considering both methods of accounting for by$-$products.

Mainly need help with parts c and d$,$ but also the $3$rd journal entry in part b$.$