When architects design structures, they must also bear in mind also the costs as

Question

When architects design structures, they must also bear in mind also the costs associated with each design. Suppose the cost functions for building highrise apartments is tied not only to the height H but also the basic material used--brick, concrete, steel. The three cost functions are shown below:

Brick TC = 90, 000 + 4,000H
Concerete : TC = 180,000 + 3,000H
Steel: TC = 320,000 + 2,000H

Which material would you recommend for a building where H is:
(a) 80
(b) 100
(c) 150

Hint: Solve for the H where the costs are the same ( brick = concrete, concrete = steel) ( break-even points) and compare the above H to these points. A sketch of the linear functions will help.

Explanation / Answer

material would you recommend for a building where H is: b.100

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