Final answer:
The incremental income from selling the partially finished cabinets without further processing is $22,400, while the incremental income from processing the cabinets further is $152,200.
Step-by-step explanation:
To calculate the incremental income, we subtract the cost of manufacturing the partially finished cabinets from the revenue generated by selling the finished cabinets.
The cost of manufacturing the partially finished cabinets is $112,000, and the revenue generated by selling them is $134,400. Therefore, the incremental income from selling the partially finished cabinets without further processing is $134,400 - $112,000 = $22,400.
However, if the cabinets are processed further, the incremental income is calculated by subtracting the additional processing cost of $27,000 from the revenue generated by selling the finished cabinets, which is $179,200. Therefore, the incremental income from processing the cabinets further is $179,200 - $27,000 = $152,200.