116. If at the optimum in a linear programming problem, a dual variable corresponding to a particular primal constraint is zero, then it means that
     

1. 1. Right hand side of the primal constraint can altered without affecting the optimum solution
      

   
   
   

   2. Changing the right hand side of the primal constraint will disturb the optimum solution
      

   
   
   

   3. The objectives function is unbounded
      

   
   
   

   4. The problem is degenerate
      

   
   
   

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1. View Hint View Answer Discuss in Forum

   NA

   Correct Option: C

   NA

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117. In an assembly line for assembling toys, five workers are assigned tasks which take times of 10, 8, 6, 9 and 10 minutes respectively. The balance delay for line is
     

1. 1. 43.3%
      

   
   
   

   2. 14.8%
      

   
   
   

   3. 14.0%
      

   
   
   

   4. 16.3%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Assuming cycle time = 10 + 8 + 6 + 9 + 10 = 43
   

   Balance delay = 1 -	∑ ti	= 1-	43	= 0.14
   	n × te		5 × 10

   
   = 14%

   Correct Option: C

   Assuming cycle time = 10 + 8 + 6 + 9 + 10 = 43
   

   Balance delay = 1 -	∑ ti	= 1-	43	= 0.14
   	n × te		5 × 10

   
   = 14%

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118. If the demand for an item is doubled and the ordering cost halved, the economic order quantity
     

1. 1. remains unchanged
      

   
   
   

   2. increases by factor of √2
      

   
   
   

   3. is doubled
      

   
   
   

   4. is halved
      

   
   
   

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1. View Hint View Answer Discuss in Forum

   EOQ ∝ √DC₀
   

   	EOQ'	=	EOQ
   	√D'C0'		√DC0

   
   D' = 2D
   

   C0' =	1	C0
   	2

   
   

   ∴	EOQ'	=	EOQ
   	√{ 2D × ( C0 / 2 ) }		√DC0

   
   ⇒ EOQ' = EOQ

   Correct Option: A

   EOQ ∝ √DC₀
   

   	EOQ'	=	EOQ
   	√D'C0'		√DC0

   
   D' = 2D
   

   C0' =	1	C0
   	2

   
   

   ∴	EOQ'	=	EOQ
   	√{ 2D × ( C0 / 2 ) }		√DC0

   
   ⇒ EOQ' = EOQ

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119. When the annual demand of a product is 24000 units, the EOQ (Economic Order Quantity) is 2000 units. If the annual demand is 48000 units the most appropriate EOQ will be
     

1. 1. 1000 units
      

   
   
   

   2. 2000 units
      

   
   
   

   3. 2800 units
      

   
   
   

   4. 4000 units

   
   
   

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1. View Hint View Answer Discuss in Forum

   EOQ ∝ √D
   

   	EOQ2	=	EOQ1
   	√D2		√D1

   
   

   EOQ2 = EOQ1 ×	√D2
   	√D1

   
   

   EOQ2 = 2000 ×	√4800	= 2828
   	√2400

   
   

   Correct Option: C

   EOQ ∝ √D
   

   	EOQ2	=	EOQ1
   	√D2		√D1

   
   

   EOQ2 = EOQ1 ×	√D2
   	√D1

   
   

   EOQ2 = 2000 ×	√4800	= 2828
   	√2400

   
   

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120. In an ideal inventory control system, the economic lot size for a part is 1000. If the annual demand for the part is doubled, the new economic lot size required will be
     

1. 1. 500
      

   
   
   

   2. 2000
      

   
   
   

   3. 1000 / √2
      

   
   
   

   4. 1000 √2

   
   
   

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1. View Hint View Answer Discuss in Forum

   EOQ ∝ √D
   EOQ = 1000
   

   	EOQ1	=	EOQ
   	√D		√D

   
   

   EOQ1 = 1000 ×	√2D	= 1000√2
   	√D

   Correct Option: D

   EOQ ∝ √D
   EOQ = 1000
   

   	EOQ1	=	EOQ
   	√D		√D

   
   

   EOQ1 = 1000 ×	√2D	= 1000√2
   	√D

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