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A supermarket is to be designed as a rectangular building with a floor area of 15,000 square feet. The front of the building will be
A supermarket is to be designed as a rectangular building with a floor area of 15,000 square feet. The front of the building will be mostly glass and will cost $80 per running foot for materials. The other three walls will be constructed of brick and cement block, at a cost of $50 per running foot. Ignore all other costs (labor, cost of foundation and roof, and the like) and find the dimensions of the base of the building that will minimize the cost of the materials for the four walls of the building. Let y be the length of the side using glass and let x be the length of a side that is adjacent to the glass side. (Do not include the $ symbol in your answer.) The objective equation is c=x+ y. The constraint equation is xy = I and the long side is V The short side is (Round to the nearest hundredth as needed.) The minimum cost is $ (Round to the nearest dollar as needed.)
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