A department store plans to construct a one-story building with a rectangular pl

Question

A department store plans to construct a one-story building with a rectangular planform. The building is required to have a floor area of 22,500 ft2 and a height of 18 ft. It is proposed to use brick walls on three sides and a glass wall on the fourth side. Find the dimensions of the building to minimize the cost of construction of the walls and the roof assuming that the glass wall costs twice as much as that of the brick wall and the roof costs three times as much as that of the brick wall per unit area.

Explanation / Answer

The building is required to have a floor area of 22,500 ft2 and a height of 18 ft. It is

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