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JEE Main & Advanced Mathematics Linear Programming Question Bank Linear Programming

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    Mohan wants to invest the total amount of Rs. 15,000 in saving certificates and national saving bonds. According to rules, he has to invest at least Rs. 2000 in saving certificates and Rs. 2500 in national saving bonds. The interest rate is 8% on saving certificate and 10% on national saving bonds per annum. He invest Rs. x in saving certificates and Rs. y in national saving bonds. Then the objective function for this problem is 

    A)                 \[0.08x+0.10y\]

    B)                 \[\frac{x}{2000}+\frac{y}{2500}\]

    C)                 \[2000x+2500y\]              

    D)                 \[\frac{x}{8}+\frac{y}{10}\]

    Correct Answer: A

    Solution :

                    Objective function is given by profit function                                 \[=x\cdot \frac{8}{100}+y\times \frac{10}{100}=0.08x+0.10y\].


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