Palm Life uses a joint production process costing $$120,000$ to produce $50,000$ pounds of palm oil and $30,000$ pounds of pulp. Palm oil can be sold for $$3\mathrm{.}00$ per pound, or processed further to make $30,000$ pounds of cosmetics products. The separable cost to produce the cosmetics is $$40,000,$ and cosmetics can be sold for $$7\mathrm{.}00$ per pound. Pulp can be sold for $$0\mathrm{.}40$ per pound or processed further to produce $25,000$ pounds of fuel at a cost of $$8,000.$ Fuel can be sold for $$0\mathrm{.}50$ per pound. Palm Life uses the Net Realizable Value method to allocate joint costs.

Required:

Determine the total joint cost allocation for each of Palm Life$$s products, assuming the company chooses which products to produce based on maximizing profit.