The variable cost (V) of manufacturing a product varies according to the equation V= 4q, where q is the quantity produced. The fixed cost (F) of production of same product reduces with q according to the equation F = 100/q. How many units should be produced to minimize the total cost (V+F)?
option
(A) 5
(B) 4
(C) 7
(D) 6

• 5 units..by verification
• 11 years agoHelpfull: Yes(1) No(0)
• They have to produce 5 Numbers
• 11 years agoHelpfull: Yes(1) No(0)
• taking the formula 4q+100/q
  substitute the given value one by one
  4x5+100/5=40,
  4x4+100/4=41,
  4x7+100/7=42.29,
  4x6+100/6=40.67
  the summation of above least values is correct answer 5
• 10 years agoHelpfull: Yes(1) No(0)
• we will gng through option so it will be easy
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• Max(V+F)=> MAX(4q+100/q
  =>4q^2+100=0 or q=0
  =>q=5, q=0
  Max=5
• 11 years agoHelpfull: Yes(0) No(0)
• 5
  Will the answer
  It will come by method maxima and minima .
  
• 11 years agoHelpfull: Yes(0) No(0)
• equation=4q+100/q
  differentiate it,and make it equals 0
  4+100*(-1/q^2)=0
  then q=5
  
• 11 years agoHelpfull: Yes(0) No(0)