Dock Corporation makes two products from a common input. Joint processing costs up to the split-off point total $33,600 a year. The company allocates these costs to the joint products on the basis of their total sales values at the split-off point. Each product may be sold at the split-off point or processed further. Data concerning these products appear below: Product X Product Y Total Allocated joint processing costs 16,800 16,800 33,600 Sales value at split-off point $ 24,000 $ 24,000 $ 48,000 Costs of further processing $ 15,000 $ 18,700 $ 33,700 Sales value after further processing $ 35,500 $ 45,100 $ 80,600 What is the minimum amount the company should accept for Product X if it is to be sold at the split-off point? Multiple Choice $31,800 $20,500 $16,800 $35,500

A split-off point is a point of production where the combined products come from the production system. For example, when a company prepared its financial statements, it realized that because of its lack of profit or loss, it was attractive to investors.

The minimum price at split-off is the benefit of further processing less the cost of this processing.

As per the given information,

Product X further process sales value is $35,500

Cost of further processing is $15,000

[tex]\rm\,Minimum\, price\, at \,split-off \,= Product \;X \;Sales \;Value - Cost\; of \;Further Processing\;\\\\\rm\,Minimum\, price\, at \,split-off \,= \$35,500 - \$15,000\\\\\rm\,Minimum\, price\, at \,split-off \,= \$20,500[/tex]

The reason that follows is the company will sell at least to break even so the product at split-off will be sold at cost.

Thus, To get $35,500 worth of goods we must add up 15,000 dollars as further processing costs so the minimum price is $20,500.

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