$$BB is interested in opening a new plant in country M so it can take advantage of the less expensive local labor and material costs when producing Green Shampoo. However, it is important to know if BB can benefit from these lower costs$$in other words, you need to determine if the productivity is at least as good in country M as it is in the plants in the United States. In country M$,$ the estimated labor cost to produce $500$ bottles is $$1,000,$ the estimated material cost for $500$ bottles is $$4,000,$ and the estimated overhead cost is $$500.$ Green Shampoo will be sold in the local market for $$10.$

Will the new plant have sufficient productivity to be profitable?