Wild West produces two types of cowboy hats. Type I hat requires twice as much labor as aType II. If all the available labor time is dedicated to Type II alone, the company can produce a total of 400 Type II hats a day. The respective market limits for the two types ofhats are 150 and 200 hats per day. The profit is $8 per Type I hat and $5 per Type II hat.The company should produce at least 100 cowboy hats (regardless of the type). Develop a reasonable mathematical model that can determine the number of hats of each type.

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