Question

Each of the seven members of the board of directors - Guzman, Harking, Lepp, Miyauchi, Upchurch, Wharton, and Zhu - serves on exactly one of two committees - the finance committee and the incentives committee. Committee membership is consistent with the following conditions:

Conditions:

Miyauchi serves on the finance committee if Wharton serves on the incentives committee.
Zhu serves on the finance committee if Guzman serves on the finance committee.
Upchurch serves on the incentives committee.
Who serves on the finance committee?
a) Guzman
b) Lepp
c) Miyauchi
d) Wharton

Answer 1

Based on the provided conditions, Guzman is the only person who can be confirmed as serving on the finance committee, because Zhu's membership is contingent upon Guzman's membership, and Upchurch is on the incentives committee.

Step-by-step explanation:

The student's question involves determining which members of a board of directors serve on the finance committee given specific conditions. Based on the conditions provided, we can conclude the following:

• If Wharton serves on the incentives committee, then Miyauchi serves on the finance committee.
• If Guzman serves on the finance committee, then Zhu also serves on the finance committee.
• Upchurch serves on the incentives committee.

Since Upchurch serves on the incentives committee, and there is no condition directly involving Harking or Lepp, their committee assignments cannot be determined from the given conditions. However, because the question asks specifically about the finance committee and we do not have explicit conditions for Harking or Lepp, they cannot be confirmed as members of the finance committee based on the information provided.

Therefore, the only person we can confirm based on the given conditions as serving on the finance committee, without further information about where Wharton serves, is Guzman because if Guzman serves on the finance committee, Zhu also does, satisfying the conditions laid out.