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A television company manufactures two models of televisions-A and B. Each unit of model A requires four hours to manufacture and each unit of model B requires two hours to manufacture. The total time available in a month to manufacture these two models is $1600$ hours. The profits generated on selling each unit of model A and each unit of model B are $₹1200$ and $₹1000$ respectively. Find the number of units of each of model A and model B television to be manufactured to maximize the profit.

  1. $200$ model as As and $600$ model Bs
  2. $800$ model as As
  3. $800$ model Bs
  4. None of the above
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