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posted by  Novaworks on 11/4/2009 5:37:55 PM  |  status: Live  |  Earned Karma: 1145

A poster...

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Calculus N/A N/A N/A 11/4/2009 at 7:00:00 PM
Question Details:
A poster is to have an area of 170 in2 with 3 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)

? in (width)

? in (height)
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posted by Altair on 11/4/2009 5:55:35 PM  |  status: Live
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Response Details:
let the width be x, and heigh be h
we have: Aear A0 = xh=172
=>h = 172/x

the printing area is: A = (x-2*3)*(h-2*3) = (x-6)((172/x - 6) = 172-6x-1032/x +36=-6x-1032/x + 208

A' = -6 + 1032/x2
let A' = 0, =>-6 + 1032/x2 = 0
=>x = √(1032/6) = 13.115 in
answer:
width : 13.115 in
heigh: 13.115 in
h = 172/x = 13.115 in

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