Please answer all the questions the last question is > If any project received zero funding then it must have lower alpha than any project that gets some funding?

Exercise 3.3: Investment Allocation A capital sum C is available for allocation among n investment projects. If the non-negative amount x, is allocated to project j for j = 1, 2, ... n, the expected return from this portfolio of projects is n The allocation is to be chosen to maximize this. Find the first-order necessary conditions from the Kuhn-Tuck Theorcm. Define n n H = E( a; /B;), K = (1/B;). j=1 j=1 Show that (i) If C > H, then a part of the total sum available is left unused. (ii) If a ; > (H -C) / K for all j, then every project will receive some funding. (iii) If any project receives zero funding, then it must have a