Billy and Bonnie are opposing participants in an online auction. Each has a constant bidding strategy: Billy always bids up by raising $40 over any previous bid. Bonnie always bids up by doubling any previous bid. The auction begins with an initial bid by a third player, and progresses as follows: Billy bids up first, and Bonnie follows. Billy bids up again, and Bonnie follows and raises the bid to a final $600. What was the dollar value of the initial price?	Options.
A) 464  B) 46  C) 90  D) 466  E) 4673
Initial bid = p$   Billy = p+40   Bonnie = 2p   The sequence is R---&gt; B ---&gt; R -----&gt; B ---&gt; 600   Thus per the sequence we have: p+40, 2(p+40), 2p+80+40 , 2(2p+120)   Now given, 2(2p+120) = 600----&gt; p =90$. Thus 90 is the correct answer.
<result>C</result>
Billy and Bonnie are opposing participants in an online auction. Each has a constant bidding strategy: Billy always bids up by raising $40 over any previous bid. Bonnie always bids up by doubling any previous bid. The auction begins with an initial bid by a third player, and progresses as follows: Billy bids up first, and Bonnie follows. Billy bids up again, and Bonnie follows and raises the bid to a final $600. What was the dollar value of the initial price?