A manufacturer hires your engineering firm to design a cylindrical soup can that will hold 10 oz (296 cm 3) of soup and will include a plastic lid to reseal the can. The manufacturer seeks the dimensions in centimeters that minimize total cost of the can. The cost for the materials is as follows: Material Cost Top of can (thin plastic, removable) $0.00125/cm2 Curved side of can and bottom $0.0005/cm 2 Label $0.000025/cm 2 (Assume this is an exact fit to the curved side of the can with no overlap) Bottom and side solder $0.005/cm (Assume this is used on the vertical side seam and the circular bottom seam) Glue for seam of label and top $0.00025/cm (Assume this is used along the vertical seam of the label and around the top, to seal the plastic covering) Plastic lid $0.002/cm 2 (Assume that the cost of the lip of the lid is included in this)

Questions and Answers > A manufacturer hires your engineering firm to design a cylindrical soup can that will hold 10 oz (296 cm 3) of soup and will include a plastic lid to reseal the can. The manufacturer seeks the dimensions in centimeters that minimize total cost of the can. The cost for the materials is as follows: Material Cost Top of can (thin plastic, removable) $0.00125/cm2 Curved side of can and bottom $0.0005/cm 2 Label $0.000025/cm 2 (Assume this is an exact fit to the curved side of the can with no overlap) Bottom and side solder $0.005/cm (Assume this is used on the vertical side seam and the circular bottom seam) Glue for seam of label and top $0.00025/cm (Assume this is used along the vertical seam of the label and around the top, to seal the plastic covering) Plastic lid $0.002/cm 2 (Assume that the cost of the lip of the lid is included in this)

Math • Math - Other A manufacturer hires your engineering firm to design a cylindrical soup can that will hold 10 oz (296 cm 3) of soup and will include a plastic lid to reseal the can. The manufacturer seeks the dimensions in centimeters that minimize total cost of the can. The cost for the materials is as follows: Material Cost Top of can (thin plastic, removable) $0.00125/cm2 Curved ...[Show More]

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