Name

Ned and Fred would like to hire a cleaning service to clean their apartment each week.  The value of the cleaning is $35 to Ned and $100 to Fred.  Regardless of who pays for the service, the entire apartment gets cleaned.

a.      What is the most the cleaning service can charge per week and still be assured of being hired by one of them?

Suppose the competitive fee for the cleaning service is $80 per week.

b. The owner of the apartment complex proposes that each of you pay 50% of the weekly fee.  Will you and your roommate agree to the landlord's proposal?  Yes   No

d. Will Ned ever take it upon himself to hire the cleaning service if Fred refuses to contribute? Yes  No

e. Will Fred ever hire the cleaning service if Ned refuses to contribute? Yes  No

f. Fred tells Ned that he will not hire the cleaning service unless Ned contributes.  What will be the net cost to Fred of the cleaning service?