A dairy is planning to introduce and promote a new line of organic ice cream. After test marketing the new line in a large city, the marketing research department found that the demand in that city is given approximately by the following equation, where x thousand quarts were sold per week at a price of $p each, and whose revenue n is given as R(x) = xp. p = 14e^-x 0 < x < 4 (A) Find the local extrema for the revenue function.
(B) On which intervals is the graph of the revenue function?
1. concave upward
2. Concave downward
(C) What is/are the local maximum/a?
a. The local maximum/a is/are at x = (Simplify your answer. Use a comma to separate answers as needed.).
b. There is no local maximum.
(D) What is/are the local minimum?
a. The local minimum/a is/are at x = (Simplify your answer. Use a comma to separate answers as needed.)
b. There is no local minimum.

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?