The Happy Wimp Co$.$ is in the business of processing corn into oil, sugar, meal, and chaff. Each month the Happy Wimp Co$.$ processes $20,000$ pounds. The yields, additional processing costs, and selling prices are:

Product

Yield Sales Value at Split$-$off Point

Added Costs

Price per lb$.$

Oil $200$ lbs$.$ $$1\mathrm{.}25\mathrm{.}50$ per lb$.$ $$2\mathrm{.}00$

Sugar $200$ lbs$.\mathrm{.}80\mathrm{.}30$ per lb$.1\mathrm{.}30$

Meal $500$ lbs$.\mathrm{.}40\mathrm{.}20$ per lb$.\mathrm{.}60$

Chaff $100$ lbs$.\mathrm{.}100\mathrm{.}10$

Joint processing costs per $1,000$ pounds are: raw materials $$100,$ labor $$80,$ and depreciation $$4,000/20=$ $$200$; Total $$380.$

Required:

b$.)$ Allocate the total joint costs to the different products according to the four allocation methods. Treat chaff as a by$-$product.