A financial manager is managing a cash fund. The manager’s investment alternatives available are various certificates of deposit, also known as CDs, as listed in the following table:

However, the manager also must ensure that sufficient funds are available to pay company expenditures over the next six months. The following table lists the net expenditures (in thousands of dollars) that the manager is obligated to cover (cash amounts in parenthesis indicate a net inflow of cash rather than outflow).

The cash on hand to invest at the start of month 1 is \($200,000\) and the minimum cash required to be available at the end of month 6 is \($100,000\). Expenditures are paid at the end of the month. Develop and solve a linear program that will recommend how to invest to maximize the amount of interest income accrued over the next six months while satisfying all financial commitments.

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Investment Yield Availability 1-month CD 0.5% Beginning of each month 3-month CD 1.75% Beginning of Months 1, 2, 3, 4 6-month CD 2.3% Beginning of Month 1