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Lawn Products produces two products (X and Y ) and a by-product (Z) from a joint process using a raw materlal (Alpha). The company chooses to allocate the costs on the basis of the physical quantitles method. Last month, It processed 23,000 pounds of Alpha at a total cost of $99,000. The output of the process consisted of 28,800 units of product X,35,200 units of product Y, and 7,100 units of by-product Z. By-product Z can be sold for $12,000. This is considered to be its net realizable value, which is deducted from the processing costs of the main products. Requlred: What amount of joint costs should be assigned to each of product X and product Y