OECS Bank has both a loans division and mutual funds division. It has allocated $40.0M to finance  its loan portfolio. Its operations manager is asked to build an LP model to help guide company  decisions as to how to disburse the revolving fund across different loan categories. The operations  manager garnered the following data on available types of loans based on market research of the  industry:  Types of loan Interest rate Bad debt ratio  Personal 0.15 .10  Car 0.20 0.04  Home 0.17 0.02  Small and medium enterprises 0.25 0.15  Commercial 0.10 0.02  The Bank’s net return is interest rate net of Bad debt. Revenue from interest is gained only from good loans. d) Home loans must equal at least 50% of the personal, car and homes loans. e) The bank also has a stated policy of not allowing the overall ratio of bad debts on all loans to  exceed 5 %.   g) Generate the non-negative constraint

EBK CONTEMPORARY FINANCIAL MANAGEMENT
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Chapter17: The Management Of Cash And Marketable Securities
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OECS Bank has both a loans division and mutual funds division. It has allocated $40.0M to finance 
its loan portfolio. Its operations manager is asked to build an LP model to help guide company 
decisions as to how to disburse the revolving fund across different loan categories. The operations 
manager garnered the following data on available types of loans based on market research of the 
industry: 
Types of loan Interest rate Bad debt ratio 
Personal 0.15 .10 
Car 0.20 0.04 
Home 0.17 0.02 
Small and medium enterprises 0.25 0.15 
Commercial 0.10 0.02 
The Bank’s net return is interest rate net of Bad debt. Revenue from interest is gained only from good
loans. d) Home loans must equal at least 50% of the personal, car and homes loans.
e) The bank also has a stated policy of not allowing the overall ratio of bad debts on all loans to 
exceed 5 %. 
 g) Generate the non-negative constraint 

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