The table below depicts the attributes of 10 mutual funds that you have chosen for investment of

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Question:

The table below depicts the attributes of 10 mutual funds that you have chosen for investment of your client’s money. She has $100,000 to invest, though you do not have to invest it all (Warren Buffet doesn’t tie up all of his money either!). Attributes:

1) A Measure of the riskiness of the fund (low is better than high).

2) Investment Category (STOCK, BAL(anced), INTL, BOND)

3) Investment Company (VAN, FID, JPM, TRP)

4) RET1 – anticipated annual return under market conditions “Election Results 1”

5) RET2 - anticipated annual return under market conditions “Election Results 2”

6) Social – a measure of how the funds are invested in socially conscious companies. Invest the model optimally (minimizing risk – amount invested in a fund times the risk measure) such that:

a) Under market conditions RET2, there is a return of at least $14,000. (This is a number).

b) Under market conditions RET1, the model shows no loss.

c) No more than 40% of the funds invested can be with any one company.

d) At least 10% of the invested funds must be with each company.

e) For diversity, there must be at least $10,000 invested in each investment fund category

. f) The invested funds must average at least 4.75 on the social measure.

g) Investments must be in integer dollars. Create and solve an LP model that addresses this investment situation. Keep in mind we do not know in advance how much the model will decide to invest – it will be between $0 and $100,000. Only the model knows.