operation research & math

As an entrepreneur, Eowyn has an idea to satisfy a need for a service that is lacking in the market. If she starts this business venture now, she expects that her revenues is moderate at the beginning, but they will be high as time goes on. Meanwhile, however, she is responsible to paying her bills on time. Table 4 depicts all the series of revenues and her bills over the next six months. Before she starts the business, she can request for a 6-month loan: the payback date is at the end of the 6th month, she will not have the option for early payback, and she will incur an interest rate of 9% over the 6-month period. She may also meet her cash needs by month-to-month borrowing; in this case, she can borrow 2 money for one month and you incur an interest cost of 4% per month. Suppose, she has $10,000 before she starts the project. Formulate a linear program to determine how to minimize the cost of paying the bills on time