1:25uj' sagml 2. [l6 Points] DETAILS MY NOTES The typical soft drink can in the US has a volume of 355 cm3. The two circular ends cost $00006 per cm2 each (because they are thicker). and the cost of the aluminum for the side of the can is $000028 per cm? What dimensions will minimize the cost of a can? (Round your answers to two decimal places.) radius cm height cm What is the minimum cost per can? (Round your answer to four decimal places) :8 3. [l6 Points] DETAILS MY NOTES Waste Management Company wants to construct a dumpster in the shape of a rectangular solid with no top whose length is two times its width. Its volume is xed at 36 yd3, Find the dimensions ofthe dumpsterthat will minimize its surface area. length yd width yd height yd 4. [-l6 Points] DETAILS MY NOTES A farmer wants to enclose two rectangular areas along a river (see the gure below), one for cattle and the other for alpacast (Assume the rectangular areas have the same dimensions and share the fence in the middle) He has budgeted or 2'10 yd of fencing for the project No fence is needed along the rivers What is the largest total area that can be enclosed? yd2 5. [l8 Points] DETAILS MY NOTES A piece of wire 26 ft long is cut into two pieces. One piece is used to form a square. and the remaining piece is used to form a circle. Where should the wire be cut so that the combined area of the two gures is a maximum? (Round your answers to two decimal places) length of wire used for the square ft length of wire used for the circle ft Where should the wire be cut so that the combined area of the two gures is a minimum? (Round your answers to two decimal places) length of wire used for the square ft length of wire used for the circle ft