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.