QUESTION 12 A trader is deciding how to allocate $100,000 to three different mutual funds. Fund 1 has a minimum investment requirement of $10,000, and is expected to return per year. Fund 2 has a minimum investment requirement of $25,000, and is expected to return 5% per year Fund 3 has a minimum wstrent requirement of $30.000 and is expected to return 9% per year. In addition Fund 1 distributes a dividend of 3% of the invested amount per year, while charging a management fee of 0.5% of the invested amount per year Fund 2 distributes a dividend of 2% of the invested amount per year, while charging a management fee of o 25% of the wested amount par year. Fund 3 distributes a dividend of 1% of the invested amount per year, while charging a management fee of 0.10% of the invested amount per year. The broke wants to maximize their expected retum while also receiving at least $2.000 in dividenda per year and paying at most 5500 in fees Suppone x is the amount invested in Fund 1.y is the amount invested in Fund 2 and is the amount invested in Fund 3, and in the blanks below to formulate the trader's problem as a linear program (Please enter all numerical values in decimal, do not include commas, percents, dollarsins, etc.) Maximin ** I y+0.09 Subject to: y. 22 2000 25 *+0.0025y 2 25000 22