Andrea and Beth are dining at a fine restaurant. There is a bottle of 2009 Grgich Hills Chardonnay on the menu and the price is $100. To keep things simple, albeit unrealistic, assume the restaurant only sells whole bottles and this is the only wine they carry. Andrea would be willing to pay $110 to drink the whole bottle. Andrea would be willing to pay $90 to drink half the bottle. Beth would be willing to pay $80 to drink the whole bottle. Beth would be willing to pay $50 to drink half the bottle. They would like to share a bottle if it makes sense to do so (and if they can agree on how to divide the costs). To see if it makes sense, what is the pie, in dollars