Suppose that either phase i is completed or the bounded optimal solution
of the big-m problem is found. furthermore, suppose that there exists at least
one artificial at a positive level indicating that the original system ax = b and
and x \geq 0 has no solution. how would you differentiate between the following
two cases?
a. the system ax = b is inconsistent.
b. the system ax = b is consistent but ax = b implies that x \geq 0 is not true (x is not greater than or equal to 0).
illustrate each case with an example.

6x - 8 = 16 solve the following equation. then place the correct number in the box provided.

High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool.suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?

Monitors manufactured by tsi electronics have life spans that have a normal distribution with a standard deviation of 1800 hours and a mean life span of 20,000 hours. if a monitor is selected at random, find the probability that the life span of the monitor will be more than 17,659 hours. round your answer to four decimal places.