Winslow Savings Has $20 Million Available for Investment

question 40

Essay

Winslow Savings has $20 million available for investment. It 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 $10 million available at the start of the fifth month for a high rise building venture in which it will be participating.
For the time being, Winslow wishes to invest only in 2-month government bonds (earning 2% over the 2-month period) and 3-month construction loans (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 3/4 of 1% per month when invested locally.
Formulate and solve a linear program that will help Winslow Savings determine how to invest over the next four months if at no time does it wish to have more than $8 million in either government bonds or construction loans.

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Definitions:

Petty Cash Fund

A nominal sum of cash reserved for quick payments of assorted trivial expenses.

Replenishing

Refers to the process of adding stock or supplies to bring quantities back up to predetermined levels.

Debit To Cash

An accounting entry that increases the cash balance in a company's books, reflecting an influx of money.

Mail Receipts

Documentation or evidence of receiving goods or correspondence through the postal service.