Question: A company is producing two types of hats (A and B). Type A requires twice as much labor as B. If all labor is allocated to type B then they can produce at most 400 type B hats. Labor can be distributed across production of type A and/or type B hats. Market demand for their hats is at most 150 type A and 200 type B hats. Profits are $8 per type A and $5 per type B. a. Graphically determine the optimum number hats to produce by type b. Determine the dual price of the labor availability constraint and the ranges within which the solution and the shadow price does not change.