I'm dong a question that involves a sink. The aim is to determine the dimensions of the sink (width and length) which will provide the greated cross-sectional area by modelling using an equation. Here's the catch: you are only allowed a sheet of stainless steel that it 60cm wide and a 5cm overlap has to be allowed for on either side of the sink.(adsbygoogle = window.adsbygoogle || []).push({});

So far i've figured this:

when:

c=cross-sectional ares

a=area

l=length

w=width

a= l x w

c=a

so c= l x w

w=60-(10+2L)

therefore:

c= L[60-(10+2L)]

c=60L-10L+2L^2

etc etc. when applying this formula like this:

L = c/w

L = L[60(10+2L)] / 60(10+2L)

eventually L turns out to be 0 (duh i didnt give it a value)

But here comes my question: is there a flaw in my formula or am i completely off-track? please help!!!

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# Homework Help: Modelling Problem

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