Wild West produces two types of cowboy hats. A Type 1 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) Determine the number of hats of each type that maximize revenue.
b) Determine the dual price of the production capacity and the associated feasibility range.
c) With a decrease of demand for Type 1 to 120, what would be the optimal revenue?
d) What is the dual price of the market share of the Type 2 hat?
(Use Excel to solve the question)