West Company produced two types of cowboy hats. A type 1 hat require stwice as much labor time as a Type 2. If all the available labor time is dedicated toType 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 perday. The revenue is 8$ per Type 1 hat and 5$ per Type 2 hat.
a) Please formulate a linear proggamming model for this problem.
b) Use the graphica lsolution to determine the number of hats of each type that maximizes revenue.
c) If the daily demand limit on the Type1 hat is decreased to 120, what would be happened on the optimal revenue.