Capacity Planning-Strategy and Operational Considerations problem: PRHats, a manufacturer of panama hats, must decide whether to build a large factory capacity or a small factory capacity in a particular location. The profit per hat manufactured is estimated as $15. A small factory capacity will incur an annual cost of $125,000, with a production capacity of 40,000 hats per year. A large factory capacity will incur an annual cost of $275,000, with a production capacity of 90,000 hats per year. Four scenarios of demand are considered likely: 9000, 16000, 40000, and 80000 hats per year. Based on the information and using the corresponding text’s model for this analysis, illustrate and explain which factory capacity should PRHats select.