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October 29th, 2018, 06:58 AM   #1
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Formula.

Hi all,

The objective is to minimise the actual cost of C of the support rod. The material supplier can only provide the price per unit volume Pv of the material chosen.

Show that the objective equation is given by C = PvAL
Derive an equation linking the actual cost of the material used to the price per unit volume provided by the supplier.

Any suggestions on how best to tackle?

Thanks.
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October 29th, 2018, 09:40 AM   #2
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Cost is a function of volume v purchased, and price per unit volume p(v)

Minimize C=p(v)v subject to v>V=AL.

C'=p'(v)v+p(v)=0

You would need p(v). Find v and ck v>AL
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October 30th, 2018, 01:53 AM   #3
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Thanks for your help Zylo.
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October 30th, 2018, 10:55 AM   #4
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Quote:
Originally Posted by NAC54321 View Post
Thanks for your help Zylo.
You're welcome NAC54321
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