The results of Theorem 10.18.1 suggest the following algorithm for determining the

Chapter 10, Problem T1

(choose chapter or problem)

The results of Theorem 10.18.1 suggest the following algorithm for determining the optimal sustainable yield. 1. For each value of , set and for and calculate the respective yields. These n calculations give the one-age-class results. Of course, any calculation leading to a value of h not between 0 and 1 is rejected. 2. For each value of and , set , and for j and calculate the respective yields. These calculations give the two-age-class results. Of course, any calculation leading to a value of h not between 0 and 1 is again rejected. 3. Of the yields calculated in parts (i) and (ii), the largest is the optimal sustainable yield. Note that there will be at most calculations in all. Once again, some of these may lead to a value of h not between 0 and 1 and must therefore be rejected. If we use this algorithm for the sheep example in the text, there will be at most calculations to consider. Use a computer to do the two-age-class calculations for , and for or j for Construct a summary table consisting of the values of and the percentage yields using which will show that the largest of these yields occurs when