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.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F62091c98-ca0a-4c3e-b6b2-3993c8097215%2Fc358ff57-62b1-4e0d-9db6-bf5afc05361d%2F3d1w76_processed.jpeg&w=3840&q=75)
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