Question

do 11.3 please

Example 11.2b Let us reconsider Example 11.2a, where we have 5 to invest among three projects whose return functions are f(x) = 2x . 1+x f(x) = 10( I-e-x). Let xi (j) denote the optimal amount to invest in project 1 when we have maxlfi(l), f2(1), f3(1))-max(5, 1632 6.32, a total of j to invest. Because we see that Xi(1)=0, X2(I) = 0, x3(1)=1. Since max(f(xdl) + I)-f(xdl)) = max(5, I, 8.65-6.32) = 5. we have X1(2) = 1, x2 (2) = 0, x3(2) = 1. Example 11.2b Let us reconsider Example 11.2a, where we have 5 to invest among three projects whose return functions are f(x) = 2x . 1+x f(x) = 10( I-e-x). Let xi (j) denote the optimal amount to invest in project 1 when we have maxlfi(l), f2(1), f3(1))-max(5, 1632 6.32, a total of j to invest. Because we see that Xi(1)=0, X2(I) = 0, x3(1)=1. Since max(f(xdl) + I)-f(xdl)) = max(5, I, 8.65-6.32) = 5. we have X1(2) = 1, x2 (2) = 0, x3(2) = 1. Example 11.2a Suppose that three investment projects with the fol- lowing return functions are available: fl(x) = f 2 (x)=yx, x = 0.1. and that we want to maximize our return when we have 5 to invest. Now, Vi (x) = fl(x) =-, Because l0(x - y) V2(I) = max { 10/2, 1-5, y2(I) = 0. V2(2) = max {20/3. I + 5、V2} = 2013, y2(2) = 0. V2(4) = max {40/5, î + 30/4·V2 + 2013, V3 + 5,、/4} 8.5, y2(4)1, V2(5)max (50/6, 1 +8, V2 + 7.5, V3 + 20/3, V4 +5, V5) Continuing, we have that ry) - ma)x 2(r 0sys II.La Exercise 11.3 Use the method of Example 11.2b to solve the preced- ing exercise.

Answer 1

IN .13と Distamne b s38と一20。 S 38 269 づs4 ta︹-SP.um + 22.min S' 2 2 P-m.