1. The Winslow Credit Union (WCCU) has $10 million available for investment. The credit union wishes to invest over the next four months in such a way that it will maximize the total interest earned over the four-month period as well as have at least $5 million available at the start of the fifth month for a new project.

For the time being, SCCU wishes to invest only in

• 2-month provincial bonds (earning 2% over the 2-month period), and
• 3-month federal bonds (earning 6% over the 3-month period).

Each of these is available each month for investment. Funds not invested in these two investments are liquid and earn 3/5 of 1% per month when invested locally.

Formulate a linear program that will help SCCU determine how to invest over the next four months if at no time does it wish to have more than $4 million in either provincial or federal bonds.