A company produces three joint products, X, Y, and Z, and generates scrap S from a common production process. The total joint production costs up to the split-off point are $800,000. The final sales values for products X, Y, and Z are $400,000, $250,000, and $150,000, respectively. Allocate the joint production costs to each product using the sales value at split-off method, considering the by-product and scrap.