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Single Variable Calculus

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Difficult

Maximize Printable Area

SVCALC-BKNLJ3

When printing on canvas a print shop needs to keep a $2$ cm margin on the sides and a 3 cm margin on the top and bottom. They charge by the square cm of material, and you can only afford $900$ cm$^2$.

What ratio of width to height maximizes printable area?

A

$3:2$

B

$2:3$

C

$2:\sqrt{6}$

D

$\sqrt{2}:\sqrt{3}$