Certain organisms, such as Pacific salmon, only reproduce once in their lifetime. The per capita rate r of the population increase for such organisms is a function of age, x. From empirical measurements of many populations it has been determined that r(x) = where f(x) the probability of surviving to age x, and m(x) is the number of female offsping. If l(x) = ex and m(x) = 1.03x. (A) Without using the terms "l(x)" and "m(x)", write down the explicit formula for r(x). (B) Compute r'(x). (C) Compute r"(x). (D) Find the maximum of r and at which point x it occurs. Be sure to justify why the point you find is a maximum. (E) Explain using plain English what your result from Part (D) means. In(l(x)m(x)) x