The Takita Company operates a simple chemical process to convert a single material into three separate items, referred to here as $x,Y,$ and Z$.$ All three end products are separated simultaneously at a single splitoff point.

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During $2020,$ the selling prices of the items and the total amounts sold were as follows:

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$x-70$ tons sold for $$2,000$ per ton

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$Y-240$ tons sold for $$1,500$ per ton

$Z-380$ tons sold for $$1,000$ per ton

at the point of splitoff and th

The total joint manufacturing costs for the year were $$400,000.$ Takita spent an additional $$250,000$ to finish product $Z.$ There were no beginning inventories of $x,Y,$ or $Z.$ At the end of the year, the following inventories of completed units were on hand: $x,130$ tons; $Y,60$ tons; Z$,20$ tons. There was no beginning or ending work in process.