The Chimney Commercial Corporation (CCC) has new funds that must be allocated to agriculture loans, personal loans, and mortgage loans. The annual rates of return for the three types of loans are 12% for agriculture loans, 9% for personal loans, and 7% for morngage loans. The CC's planning committee has decided following conditions must be met. • At least 60% of the new funds must be allocated to agricuiture loans The amount allocated to personnel loans cannot exceed 70% of the amount allocated to mortgage loans • Agriculture loan must be at most 2.50 times the mortgage loan The amount allocated to mortgage loan must be equal to the sum of 20% of the agriculture and 75% of the personal loan Formulate a linear programming model that can determine the amount of funds CCC should allocate to each type of loan to maximize the total annual return for the new funds (II-3) Define the decision variable/s property (I-b) Write down the objective function (1-C) Write down all constraintis in such a way that RHS should not have any variable.

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Chapter2: Second-order Linear Odes
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The Chimney Commercial Corporation (CCC) has new funds that must be allocated to agriculture
loans, personal loans, and mortgage loans. The annual rates of return for the three types of loans are
12% for agriculture loans, 9% tor personal loans, and 7% for morngage loans. The CC's planning
committee has decided following conditions must be met.
• At least 60% of the new funds must be allocated to agricuiture loans.
• The amount allocated to personnel loans cannot exceed 70% of the amount allocated to
mortgage loans.
• Agriculture loan must be at most 2.50 times the mortgage loan
• The amount allocated to mortgage loan must be equal to the sum of 20% of the agriculture and
75% of the personal loan
Formulate a linear programming model that can determine the amount of funds CCC should allocate
to each type of loan to maximize the total annual return for the new funds
(11-a) Define the decision variable/s property
(-b) Write down the objective function
(I1-c) Write down all constraint/s in such a way that RHS should not have any variable.
Transcribed Image Text:The Chimney Commercial Corporation (CCC) has new funds that must be allocated to agriculture loans, personal loans, and mortgage loans. The annual rates of return for the three types of loans are 12% for agriculture loans, 9% tor personal loans, and 7% for morngage loans. The CC's planning committee has decided following conditions must be met. • At least 60% of the new funds must be allocated to agricuiture loans. • The amount allocated to personnel loans cannot exceed 70% of the amount allocated to mortgage loans. • Agriculture loan must be at most 2.50 times the mortgage loan • The amount allocated to mortgage loan must be equal to the sum of 20% of the agriculture and 75% of the personal loan Formulate a linear programming model that can determine the amount of funds CCC should allocate to each type of loan to maximize the total annual return for the new funds (11-a) Define the decision variable/s property (-b) Write down the objective function (I1-c) Write down all constraint/s in such a way that RHS should not have any variable.
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