# If Negotiating is given at some time before Objections, then which one of the following must be true?

David on February 26 at 10:24PM

Game Setup + Question 15

Hi! Could you please show the setup for this game, and how you would tackle question 15? Thanks so much :)

2 Replies

Irina on February 27 at 03:14AM

@DavidW,

This is a linear game that requires us to determine the schedule of 3 short - G O P and 3 long - H N T seminars over three days. Each day exactly two seminars are given - 1 long and 1 short.

S __ __ __ G O P
L __ __ __ H N T
1 2 3

The rules tell us that:

(1) T will not be given until both G & O have been given.

Since G & O are both short seminars, we can infer that it is impossible for T to be given on day 1.
If T is given on day 2, it must come after G/O:

G/O G/O P
T

If T is given on day 3, it must either come after G/O OR it could come either before or after P.

G/O P G/O
T

P G/O G/O
T

G/O G/O P <- against rule (2)
T

(2) N will not be given until P has been given.
This rule tells us that N cannot be the first seminar give, and P cannot be the last seminar given.
It also tells us that the scenario above where T is the last seminar given on day 3 along with T is impossible because if P is on day 3, N must follow it on day 3.

If P(3) -> N (3) -> ~ T(3)

In other words, if P is given on day 3, T must be given on day 2 after G/O and N must be given on day 3 after P.

G/O G/O P
T N

The question asks us if N is given some time before O, which one of the following must be true?

In other words, we have the following chain P - N - O - T because P must come before N and T must come after O and G. We can, therefore, conclude that P must come sometime before O (C).

Let's look at the other answer choices:

(A) is incorrect because N could come after G:

P G O
H N T

(B) is incorrect because P could be given after G:

G P O
H N T

(D) is incorrect because H could be given after O:

P O G
N H T

(E) is incorrect because N could be given after H (see scenario for (B) above).

As long as P-N-O-T order is followed, it does not matter which seminars are given in between.

Let me know if this makes sense and if you have any other questions.

David on March 1 at 05:39PM