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## Homework Statement

1. A billboard is to made with 100 m2 of printed area, with margins of 2m at the top and bottom, and 4m

on each side. Find the outside dimensions of the billboard if its total area is to be a minimum.

2. A cylindrical soft drink can is to have a volume of 500 ml. If the sides and bottom

are made from aluminum that costs 0.1¢/cm2, while the top is made from a thicker aluminum that costs 0.3

¢.cm2. Find the dimensions of the can that minimize its cost.

3. A farmer raises a bale of hay to a loft 6m above his shoulder by a 20 m rope using a pulley 1.5 m above

the loft. He walks away from the loft at 1.3 m/s. How fast is the bale rising when it is 2m below the loft?

What's the third one trying to say?

## Homework Equations

Any pictures or diagrams by any chance?