5 Finco has the following investments available:

Investment A For each dollar invested at time 0, we receive

$0.10 at time 1 and $1.30 at time 2. (Time 0  now;

time 1  one year from now; and so on.)

Investment B For each dollar invested at time 1, we receive

$1.60 at time 2.

Investment C For each dollar invested at time 2, we receive

$1.20 at time 3.

At any time, leftover cash may be invested in T-bills, which pay 10% per year. At time 0, we have $100. At most, $50 can be invested in each of investments A, B, and C. Formulate an LP that can be used to maximize Finco’s cash on hand at time 3.