Final answer:
The operating income will increase by $6 million if Washington Hardwoods processes wood shavings further into pellets, after factoring in the additional costs and revenue associated with further processing.
Step-by-step explanation:
The increase in operating income resulting from processing wood shavings further into wood pellets can be determined by analyzing the additional revenue and costs associated with the processing.
1. **Additional Revenue:**
- The direct sale of wood shavings generates revenue of $9 million.
- Processing wood shavings into wood pellets allows for the sale of the processed product at $25 million.
Therefore, the incremental revenue from processing wood shavings into pellets is $25 million - $9 million = $16 million.
2. **Additional Cost:**
- The cost of further processing wood shavings into wood pellets is $10 million.
Now, subtracting the additional cost from the incremental revenue provides the net increase in operating income:
$16 million - $10 million = $6 million.
In summary, if the company decides to process wood shavings further into wood pellets, there would be a net increase in operating income of $6 million. This analysis considers the additional revenue generated by selling the processed product and offsets it against the cost associated with the further processing. It is essential for decision-making processes to evaluate both the financial gains and costs associated with alternative production methods.