This is for a linear programming math class. Thank you!

3) Corsider the following investment-portfolio problem: At time o, we have $10000. If we invest"$x' in investment a at time t, "we obtain $.2x. at the beginning of time period 1+1, and $1.5% at the beginning of time period t+2. If we invest $x investment B'at time t, we obtain zero in period ++1, buc $1.9x at the beginning of time period.t-2. Any uninvesteg money can be banked, earning 5% interest/time period. Formulate and solve an LP to find the way to have the most cash on hand AT THE BEGINNING OF TIME PERIOD '4. 3) Corsider the following investment-portfolio problem: At time o, we have $10000. If we invest"$x' in investment a at time t, "we obtain $.2x. at the beginning of time period 1+1, and $1.5% at the beginning of time period t+2. If we invest $x investment B'at time t, we obtain zero in period ++1, buc $1.9x at the beginning of time period.t-2. Any uninvesteg money can be banked, earning 5% interest/time period. Formulate and solve an LP to find the way to have the most cash on hand AT THE BEGINNING OF TIME PERIOD '4