A can manufacturer located in Oklahoma City produces aluminum cans for one major cola company. The distribution area for these cans includes about 13% of the US population located in New Mexico, Texas, Oklahoma, Kansas, Arkansas, Louisiana and southwestern Missouri.
Inside the plant, there are eight stamping presses that manufacture can lids. Each press stamps two lids per stroke and on average runs at 500 strokes per minute. The machines run 24 hours a day for an average of 300 days per year. (The only time that the machines stop running is for two two week maintenance breaks, 10 holidays, and an additional 27 days due to miscellaneous break downs.)
If the total volume of aluminum for one can is $V_{c} = 8.69 \times 10^{-7}$ cubic meters and the cost of processed aluminum is 6210.00 dollars per cubic meter, how many dollars would be saved by changing the design of the can?
Savings equals dollars.