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The main objective of this paper is to optimize (maximize) the net return of Central Bank of India in the area of interest from loans such as Personal loan, Car loan, Home loan, Agricultural loan, Commercial loan, Education loan and also maximize the net return of the investor by investing some amount in the investment policy of Central Bank of India such as Fixed Deposit, Saving Account, Public Provident fund and other investment Policies. The linear programming technique is applied to maximize profit of the Bank and the investor

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