Railways NTPC (Technical Ability) Engineering Mechanics and Strength of Materials Question Bank Engineering Mechanics

  • question_answer
    There are two products A and B with the following characteristics:
    Product Demand Order cost (in Rs./order) Holding cost (in Rs./unit)
    A 100 100 4
    B 400 100 1
    The economic order quantities (EOQ) of product A and B will be in the ratio of:

    A) 1 : 1                             

    B) 1 : 2

    C) 1 : 4                             

    D) 1 : 8

    Correct Answer: C

    Solution :

    \[EOQ=\sqrt{\frac{2D{{C}_{0}}}{{{C}_{c}}}}\] \[Q{{*}_{A}}=\sqrt{\frac{2\times 100\times 100}{1}}=50\sqrt{2}\] \[Q{{*}_{B}}=\sqrt{\frac{2\times 40\times 100}{1}}=200\sqrt{2}\] \[{{\text{Q}}^{\text{*}}}_{\text{A}}\text{/Q}{{\text{*}}_{\text{B}}}=50/100=1\,:\,4\]


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