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Exercise 3.3: Investment Allocation A capital sum C is available for allocation among n investmcm projects. If the non-negative amount 1,- is allocated to projem j for j = 1, 2, .L. n, the expected return from this portfolio 01 projects is " 1 E [0:13; '5191 Ii]- i:! The allocation is to be chosen to maximize this. Find the rst-order necessary conditions from the Kuhn-Tuck: Theorem. Dene H = Z (0.09.). K = 2 (1/6.). i=1 1-1 Show that. (i) If C > H, than a part. of the total sum available is left unused. (ii) If a,- > (H C)/K for all 1', then every project will rccciv: some funding. (iii) If any project receives zero funding, then it must have .. lower .1! than any project that gets some funding