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QUESTION

The lightest material is the one with the lowest value of /y, and the material with the lowest price is the one with the lowest value of Cm/y.

The lightest material is the one with the lowest value of ρ/σy, and the material with the lowest price is the one with the lowest value of Cmρ/σy. 

Sketch the trade-off surface on the figure above and explain what it means.

find the expression for the penalty function Z and explain what it means including a definition of the exchange constant.

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