Camping on Saddleback Mountain

Johnny and Twila are going camping in the mountains. Johnny loves high altitudes, while Twila enjoys lower altitudes. The region they have agreed to camp in has a grid of 8 roads running through it: 4 running east-west, and 4 running north-south. Both enjoying different elevations of campsites, Johnny and Twila have agreed to decide where they will camp in the following manner: Johnny will choose one of the east-west roads, and Twila will choose one of the north-south roads. They will camp at the intersection of the two chosen roads.

The altitudes of each road at the points they intersect the 4 perpendicular roads are as follows:

East-West roads, listed in order from north to south
EW1: 7000 feet; 2000 feet; 5000 feet, 1000 feet
EW2: 2000 feet; 2000 feet; 3000 feet; 4000 feet
EW3: 5000 feet; 3000 feet; 4000 feet; 4000 feet
EW4: 3000 feet; 2000 feet; 1000 feet; 6000 feet

North-South roads, listed in order from west to east
NS1: 7000 feet; 2000 feet; 5000 feet; 3000 feet
NS2: 2000 feet; 2000 feet; 3000 feet; 2000 feet
NS3: 5000 feet; 3000 feet; 4000 feet; 1000 feet
NS4: 1000 feet; 4000 feet; 4000 feet; 6000 feet




Given that Johnny and Twila make their choices simultaneously in secret before revealing them to each other, and assuming that Johnny and Twila are both of equal (and high) intelligence (although Twila knows that this is not true!) and make no mistakes in choosing...

1) At what intersection will they end up camping? A. ______/_______


2) Johnny decides to be cocky and announces his choice of roads before Twila has chosen. Where will they end up camping now? B. ______/______


3) What if Twila is the cocky one and announces her choice early. Where will they camp now? C. ______/______


Now flip the choices around. Jack still wants a high altitude, Jane still wants a low altitude, but now Jack is choosing the north-south road, and Jane is choosing the east-west road. Same assumptions apply.

4) Where will they camp now with both announcing their choice of roads at the same time? D. ______/______

5) What if Johnny announces his choice of roads early in this model? Where will they camp? E. ______/______

6. What if Twila announces her choice of roads early? Where will they camp then? F. ______/______

Post your answers to the six camping sites using the format...  (A.  NS3/EW4 ) on the guest page and we

will see how our answers differ....and if we can defend them.      Enjoy!