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.

(a) Use the graphical solution to determine the number of hats of each type that maximize revenue.

(b) Determine the dual price of the production capacity (in terms of the Type 2 hat) and the range for which it is applicable.

(c) Determine the optimality range for the unit revenue ratio of the two types of hats that will keep the current optimum unchanged.