Beanie Wishes to Purchase Cecil's House

Beanie wishes to purchase Cecil's house. The most that Beanie is willing to pay is $300,000. The least that Cecil is willing to accept is $250,000. Suppose that any failure to reach an agreement reduces Beanies gain by 7 percent and reduces Cecil's gain by 3 percent. If there is no limit to the number of bargaining rounds, how much should Beanie offer for the house?

A) An amount between $264,200 and $264,300
B) An amount between $279,300 and $279,400
C) An amount between $285,700 and $285,800
D) An amount between $290,100 and $290,200
E) An amount between $291,700 and $291,800