Wild West produces two types of cowboy hats. A Type $1$ hat requires twice as much labor time as a Type $2.$ If all the available labor time is dedicated to Type $2$ alone, the company can produce a total of $400$ Type $2$ hats a day. The respective market limits for the two types are $150$ and $200$ hats per day. The revenue is $$8$ per Type $1$ hat and $$5$ per Type $2$ hat. What is the dual price of the market demand of the Type $2$ hat?

I do not want to answer this Question

$1$

$3$

$2$

$4$

$3$

$2$

$4$

$1$