Final answer:
The income earned for cups is $9,202.
Step-by-step explanation:
To calculate the income earned for cups, we need to allocate the joint costs to the cups using relative market value. The total joint cost incurred is the sum of materials cost, labor cost, and remixing cost, which is $40,000 + $44,000 + $2,000 = $86,000.
The relative market value of platters is $100,000 and the relative market value of cups is $12,000. The allocation ratio for cups can be calculated as:
($12,000 / ($12,000 + $100,000)) = 0.107.
The income earned for cups is the allocated joint cost multiplied by the allocation ratio:
$86,000 * 0.107 = $9,202.