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Industrial Engineering Miscellaneous

Industrial Engineering

  1. The maximum level of inventory of an item is 100 and it is achieved with infinite replenishment rate. The inventory becomes zero over one and half month due to consumption at a uniform rate. This cycle continues through out the year. Ordering cost is Rs. 100 per order and inventory carrying cost is Rs. 10 per item per month. Annual cost (in Rs.) of the plan, neglecting material cost, is
    1. 800
    2. 2800
    3. 4800
    4. 6800
Correct Option: C

Maximum Inventory = 100
Inventory Cycle = 1.5 months
Number of cycle required per year

=
12
= 8cycle
1.5

Co = 8 × 100 = 800/year
Ch = 8 × 10 = 80/year/unit
TAC =
Q
Ch +
D
Co
2Q

100
(80) +
100
(800) ⇒ 4800
2100



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