Based on Charnes and Cooper (1955). Alex Cornby makes his living buying and selling corn. On January 1, he has 5000 bushels of corn and $10,000 in cash. On the first day of each month, Alex can buy corn at the forecasted prices per bushel listed in the file P04_106.xlsx. On the last day of each month, Alex can sell corn at the forecasted prices listed in the same file. Alex stores his corn in a warehouse that can hold 10,000 bushels of corn. He must be able to pay cash for all corn at the time of purchase. Determine how Alex can maximize his cash on hand at the end of April.