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Whoville Marble Works (WMW) produces Bespoke Marble Kits (BMKs) for discerning marble connoisseurs. To produce their BMKs, WMW uses raw materials, labor and energy, and their production function is given by q = 2070.420.25 m0.35, where o q = WMW's monthly output, measured in BMKs, or = WMW's monthly raw material input, measured in tons, o 1 = WMW's monthly labor input, measured in hours of labor, o m = WMW's monthly energy input, measured in megawatt hours. Raw material costs WMW $100/ton, labor costs WMW $30/hour and energy costs WMW $50/megawatt hour. Find the input levels of raw materials, labor and energy that maximize WMW's output, given that their monthly production budget is $30,000. What is the minimum cost? For full (or any) credit, show your work