1. a/Measure the dimensions of a 12 ounce can of soda (we will assume the can is cylindrical even if this is not exactly accurate). You will need the height and diameter measuredin inchesand be as precise as possible.

b/ Determine thevolume in cubic inchesof the 12 ounce soda can

c/ Write an equation that you can optimize: you want to minimize the cost and maintain the current volume - this is a constraint

d/ Find the dimensions of the optimized soda can: you must show/explain all your work and provide dimensions for the height and diameterin inchesrounded to the nearest hundredth.

e/ Create a model of your optimized soda can using your new dimensions (include a picture of your model in your document)

f/ Assume the cost of aluminum is 0.5 cents per square inch. Calculate the material cost of the original soda can dimensions and the material cost of your optimized soda can dimensions. How much is save in material costs if the optimized dimensions are used?

h/ Compare/contrast the original soda can with your optimized model: create a list ofpro/cons for eachcan type

i/ Chose a winner: write a persuasive argument for why one of the soda cans is better than the other