JEE Main & Advanced Mathematics Linear Programming Question Bank Linear Programming

  • question_answer
    A wholesale merchant wants to start the business of cereal with Rs. 24000. Wheat is Rs. 400 per quintal and rice is Rs. 600 per quintal. He has capacity to store 200 quintal cereal. He earns the profit Rs. 25 per quintal on wheat and Rs. 40 per quintal on rice. If he stores x quintal rice and y quintal wheat, then for maximum profit the objective function is     

    A)                 \[25x+40y\]       

    B)                 \[40x+25y\]

    C)                 \[400x+600y\]  

    D)                 \[\frac{400}{40}x+\frac{600}{25}y\]

    Correct Answer: B

    Solution :

                    For maximum profit, z = 40x + 25y.


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