Ariela recently won $8500 on a scratch-off lottery ticket, a…

Arielа recently wоn $8500 оn а scrаtch-оff lottery ticket, and wants to invest all the money in mutual funds, in her two grandchildren's names. Each grandchild should have at least 40% of the lottery winnings invested in their name.        Ariela is considering investing the lottery winnings in 4 different mutual funds. Each fund has an expected return rate of %. Each of the mutual funds deposits money into a mix of stocks and bonds.     Mutual Fund Stocks (%) Bonds (%) 1 60% 40% 2 70% 30% 3 65% 35% 4 85% 15% Ariela's grandchildren are different ages, and she wants them to have appropriate mix of stocks and bonds for their ages. Her grandson should have at most 80% of all money invested in his name be in stocks. Her granddaughter should have at least 30% of all money invested in her name be in stocks. Ariela doesn't want to invest more than $3000 of her winnings in any particular mutual fund. Write a linear program to help Ariela maximize the total expected return on her investment, while meeting her requirements. Be sure to describe decision variables, objective, and constraints briefly in words.