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Question

Statement - I : When there are a large number of decision variables (more than three) and constraints, iterative mathematical procedures like simplex method can be used for product-mix decisions.
Statement - II : Monte Carlo is an approach for simulating the probability distribution by associating and then selecting random numbers.

The correct answer is
Both the statements are correct.

Analysis of Statement I:

Simplex Method for Product Mix

Statement I correctly identifies the suitability of iterative mathematical procedures, like the simplex method, for product-mix decisions. When faced with numerous decision variables and multiple constraints (e.g., resource limitations, demand), the simplex method provides an efficient algorithmic approach to find the optimal product mix that maximizes profit or minimizes cost.

Analysis of Statement II:

Monte Carlo Simulation Approach

Statement II accurately describes the Monte Carlo method. This simulation technique uses repeated random sampling to estimate outcomes. It involves defining a domain of possible inputs (often based on probability distributions) and then running simulations using randomly selected values from those distributions to model and predict the behavior or probability of different results.

Conclusion:

Both Statement I and Statement II provide accurate descriptions of their respective methods in the context of decision-making and simulation.

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Important Questions from Operations Research

  1. A transportation problem with m origins and n destinations becomes a trans-shipment problem with

  2. Match List I with List II

    List I

    List II

    A.

    Markovian property

    I.

    Rule of determining the order in which members of the queue are selected to begin service

    B.

    Waiting time in system

    II.

    The time of next arrival is completely uninfluenced by when the last arrival occurred

    C.

    Steady state condition

    III.

    The queueing is in after operating for some time with a fixed utilisation factor less than one

    D.

    Queue discipline

    IV.

    Elapsed time that an individual customer spends in queue, both before service and during service

    Choose the correct answer from the options given below:

  3. Customers arrive at a reception counter at an average interval rate of 10 minutes and the receptionist takes an average of 6 minutes for one customer. The average queue length is:

  4. The first and foremost important feature for a project to be successful is:

  5. In Queuing Theory, statistical pattern by which customers arrive over a period of time, follows

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