12. Wild West produces two types of cowboy hats. A type 1 hat requires twice as much...

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12. Wild West produces two types of cowboy hats. A type 1 hat requires twice as much labor time as a type 2. If the all 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 profit is $8 per Type 1 hat and $5 per Type 2 hat.

Determine the number of hats of each type that would maximize profit.

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