You have the opportunity to invest in three of your friends' start-ups. The investment opportunities have the following characteristics: Investment A: Javier's start-up. For each dollar invested today in this opportunity yields $0.2 in one month and $1.10 in two months. Investment B: Mara's start-up. For each dollar invested in a month from today, yields $0.3 in two months (from today) and $1.5 in three months. Investment C: Jesse's start-up. For each dollar invested today, yields $1.9 in three months from today. At any time, leftover cash can be invested in a savings bond, which yields 7% per month. You have $500 available now to invest. Formulate an LP to maximize your cash at the end of month 3. In the space below, clearly define your decision variables, write the objective function and constraints, and write a brief description for each of your constraints. You have the opportunity to invest in three of your friends' start-ups. The investment opportunities have the following characteristics: Investment A: Javier's start-up. For each dollar invested today in this opportunity yields $0.2 in one month and $1.10 in two months. Investment B: Mara's start-up. For each dollar invested in a month from today, yields $0.3 in two months (from today) and $1.5 in three months. Investment C: Jesse's start-up. For each dollar invested today, yields $1.9 in three months from today. At any time, leftover cash can be invested in a savings bond, which yields 7% per month. You have $500 available now to invest. Formulate an LP to maximize your cash at the end of month 3. In the space below, clearly define your decision variables, write the objective function and constraints, and write a brief description for each of your constraints