Final answer:
To allocate joint costs based on sales value at splitoff, we calculate the total sales value of the products, determine the proportion of each product's sales value to the total, and allocate joint costs accordingly.
Step-by-step explanation:
To allocate joint costs based on sales value at splitoff, we need to calculate the total sales value of the three products. The total sales value is calculated by multiplying the quantity of each product by its respective selling price at splitoff and then summing the values.
The total sales value for widgets is 5,000 widgets x $75 = $375,000
Next, we calculate the proportion of the total sales value that widgets represent. The proportion is calculated by dividing the sales value of widgets by the sum of the sales value of all three products.
The proportion for widgets is ($375,000 / ($375,000 + $437,500 + $250,000)) = 0.4167
Finally, we allocate the joint costs based on the proportion. The joint costs allocated to widgets is the proportion multiplied by the total joint costs.
The joint costs allocated to widgets is 0.4167 x $187,500 = $78,125