BLOOD CELL PRODUCTION A biological model† measures the production of a certain type of whi...

BLOOD CELL PRODUCTION A biological model† measures the production of a certain type of white blood cell (granulocytes) by the function

where A and B arepositive constants, the exponent m is positive, and x is the number of cells present.

a. Find the rate of production p'(x).

b. Find p"(x) and determine all values of x for which p"(x) = 0 (your answer will involve m).

c. Read an article on blood cell production and write a paragraph on how mathematical methods can be used to model such production. A good place to start is with the article, “Blood Cell Population Model, Dynamical Diseases, and Chaos” by W. B. Gearhart and M. Martelli, UMAP Module 1990, Arlington, MA: Consortium for Mathematics and Its Applications, Inc., 1991.