PolarTech Inc. is considering the production of a new widget. The production equipment, costing $$15$ million, will be depreciated over a six$-$year period. Upon full depreciation, the equipment's resale value is estimated at $$3$ million. The widget's retail price is $$300,$ with an anticipated annual sales volume of $150,000$ units. Fixed costs are projected at $$800,000$ annually, and variable costs amount to $$15$ per widget. Initial project startup requires a net working capital investment of $$1,500,000.$ No additional working capital is required during the project. The applicable tax rate is $25\%.$ Conducting a scenario analysis with cost of capital rates set at $6\%,10\%,$ and $15\%,$ calculate IRR and NPV for each scenario.