The issue of apparent authority is most likely to be a problem in this situation. Apparent authority arises when a third party (Supplier X) reasonably believes that an individual (the CFO) has the authority to act on behalf of the organization (the college) based on the individual's actions or statements. The CFO's conversation with Supplier X may have led the supplier to believe that they would have an opportunity to submit a proposal, even though the proper procurement process was not followed. This misunderstanding can result in legal disputes and claims of unfair practices.
References:
* ISM (Institute for Supply Management). (2020). ISM Glossary of Key Supply Management Terms.
* CIPS (Chartered Institute of Procurement and Supply). (2021). Procurement and Supply Chain Management.

The first step in developing a negotiation plan is to engage with the internal customer and other internal stakeholders to identify their needs and wants, as well as educate them on how supply management can add value in the negotiation process. Understanding internal requirements and gaining alignment with stakeholders is crucial before analyzing risks (Option B), reviewing logistics strategies (Option C), or identifying payment terms (Option D). This step ensures that the negotiation strategy is aligned with organizational objectives and stakeholder expectations.
References:
* Negotiation and Dispute Resolution in Supply Chain Management by Victor P. Olorunniwo
* Procurement and Supply Chain Management by Kenneth Lysons and Brian Farrington

In the situation where the selected bidder wants to raise its quoted rates due to the scarcity of qualified trainers:
* Binding Quotation: Remind the supplier that their quoted rates are binding. This ensures that the supplier adheres to the terms of the initial agreement, maintaining integrity and preventing cost escalations after the bid has been accepted.
* Contract Enforcement: Emphasize the importance of contract enforcement to maintain fairness and transparency in the procurement process.
* Negotiation: If necessary, negotiate within the agreed terms, but initially, the focus should be on holding the supplier accountable to their quoted rates.
By reminding the supplier that their quoted rates are binding, the supply manager upholds the integrity of the procurement process and ensures that the organization is not subjected to unexpected cost increases.
References:
* Contract management principles in procurement.
* Institute for Supply Management (ISM) guidelines on handling procurement disputes and negotiations.

To determine which machine produces the highest simple return on investment (ROI) over its useful life, we calculate the ROI as follows:
ROI=(Total SavingsPurchase PricePurchase Price)×100\text{ROI} = \left( \frac{\text{Total Savings} -
\text{Purchase Price}}{\text{Purchase Price}} \right) \times
100ROI=(Purchase PriceTotal SavingsPurchase Price)×100
* Machine W:
* Total savings = $17,000 \times 6 = $102,000
* ROI = (102,000100,000100,000)×100=2%\left( \frac{102,000 - 100,000}{100,000} \right) \times
100 = 2\%(100,000102,000100,000)×100=2%
* Machine X:
* Total savings = $23,000 \times 7 = $161,000
* ROI = (161,000112,000112,000)×10043.75%\left( \frac{161,000 - 112,000}{112,000} \right)
\times 100 \approx 43.75\%(112,000161,000112,000)×10043.75%
* Machine Y:
* Total savings = $19,000 \times 9 = $171,000
* ROI = (171,000143,000143,000)×10019.58%\left( \frac{171,000 - 143,000}{143,000} \right)
\times 100 \approx 19.58\%(143,000171,000143,000)×10019.58%
* Machine Z:
* Total savings = $25,000 \times 8 = $200,000
* ROI = (200,000150,000150,000)×10033.33%\left( \frac{200,000 - 150,000}{150,000} \right)
\times 100 \approx 33.33\%(150,000200,000150,000)×10033.33%
Machine X produces the highest simple return on investment (ROI) over its useful life at approximately
43.75%.
References:
* Financial management textbooks on ROI calculation.
* Case studies on capital investment decisions.