You have $$100,000$ to invest. There are five possible investments with irregular payouts. You can invest any amount in any of five investments. You can only invest the amount of cash you have on hand plus payouts from previous investments. You can only invest at the beginning of the years. The payouts will be proportional to the amount of investment $($outlay$).$

Investment A:

For each dollar Invested at the beginning of year $1,$ receive payout of $$1\mathrm{.}40$ at the beginning of year $4.$

Investment B:

For each dollar Invested at the beginning of year $1,$ receive payout of $$1\mathrm{.}15$ at the beginning of year $2$

Investment C:

For each dollar Invested at the beginning of year $1,$ receive payout of $$1\mathrm{.}28$ at the beginning of year $3$

Investment D:

For each dollar Invested at the beginning of year $3,$ receive payout of $$1\mathrm{.}15$ at the beginning of year $4$

Investment E:

For each dollar Invested at the beginning of year $2,$ receive payout of $$1\mathrm{.}32$ at the beginning of year $4$

Determine the investment strategy that maximizes the amount of cash inflow at the beginning of year $4$ subject to cash inflow $>=$ cash outflow at the beginning of each year $1$ to $3.$

Hint: In the inputs area, keep outlays and payouts separate.