Lawn Products produces two products (X and Y) and a by-product (Z) from a joint process using a raw material (Alpha). The company chooses to allocate the costs on the basis of the physical quantities method. 

Last month, it processed 22,000 pounds of Alpha at a total cost of $98,000. The output of the process consisted of 28,350 units of product X, 34,650 units of product Y, and 7,000 units of byproduct Z. By-product Z can be sold for $11,500. This is considered to be its net realizable value, which is deducted from the processing costs of the main products. 

Required

What amount of joint costs should be assigned to each of product X and product Y?