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.
- $200$ model as As and $600$ model Bs
- $800$ model as As
- $800$ model Bs
- None of the above