A new engineering building is to contain 400,000 square feet. The total cost of the building (TC) is given by

a. Create a table that shows the total building cost, average cost per floor, and cost reduction from successive numbers of floors (1 to 2, 2 to 3, 3 to 4, and so on).

b. Based on your table, what is the optimal number of floors for the building? Justify your answer based on the ‘‘total building cost’’ column.

c. Using differential calculus, demonstrate that your answer matches that in Part c.

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where X=number of floors A floor area in ft/floor TC = (200+80X+ 2x)A ==