Industrial Engineering Miscellaneous

Industrial Engineering Miscellaneous

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Industrial Engineering

Industrial Engineering Miscellaneous
  1. A company produces two types of toys: P and Q. Production time of Q is twice that of P and the company has a maximum of 2000 time units per day. The supply of raw material is just sufficient to produce 1500 toys (of any type) per day. Toy type Q requires an electric switch which is available @ 600 pieces per day only. The company makes a profit of Rs. 3 and Rs. 5 on type P and Q respectively. For maximization of profits, the daily production quantities of P and Q toys should respectively be








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    Zmax = 3P + 5Q
    subject to P + 2Q ≤ 2000
    P + Q ≤ 1500
    Q ≤ 600
    P, Q ≥ 0

    Feasible solution (O A B C D)
    Since At point A (1500,0)
    Z = 3 × 1500 + 5 × 0 = 4500
    At Point B (1000, 500)
    Z = 3 × 1000 + 5 × 500 = 5500
    At point C (800, 600)
    Z = 3 × 800 + 5 × 600 = 5400
    At Point O (0, 600)
    Z = 3 × 0 + 5 × 600 = 3000
    Hence Z in maximum at B (1000,500)
    P = 1000 units and Q = 500 units

    Correct Option: A

    Zmax = 3P + 5Q
    subject to P + 2Q ≤ 2000
    P + Q ≤ 1500
    Q ≤ 600
    P, Q ≥ 0

    Feasible solution (O A B C D)
    Since At point A (1500,0)
    Z = 3 × 1500 + 5 × 0 = 4500
    At Point B (1000, 500)
    Z = 3 × 1000 + 5 × 500 = 5500
    At point C (800, 600)
    Z = 3 × 800 + 5 × 600 = 5400
    At Point O (0, 600)
    Z = 3 × 0 + 5 × 600 = 3000
    Hence Z in maximum at B (1000,500)
    P = 1000 units and Q = 500 units

  1. In PERT, the distribution of activity times is assumed to be








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    NA

    Correct Option: C

    NA

  1. A dummy activity is used in PERT network to describe








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    Dummy activities often have a zero completion time & are used to represents precendence relationship.

    Correct Option: A

    Dummy activities often have a zero completion time & are used to represents precendence relationship.

  1. Production flow analysis (PFA) is a method of identifying part families that uses data from








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    Production flow analysis (PFA) is a comprehensive method for material analysis part family formations, design of manufacturing cell & facility layout design. These operation are taken from the Route sheet.

    Correct Option: D

    Production flow analysis (PFA) is a comprehensive method for material analysis part family formations, design of manufacturing cell & facility layout design. These operation are taken from the Route sheet.

  1. On an average 100 customers arrive at a place each hour, and on the average the server can process 120 customers per hour. What is the proportion of time the server is idle?.








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    The proportion of time the server is idle = 1 - ρ

    Correct Option: A

    The proportion of time the server is idle = 1 - ρ