Measure the dimensions of a coke can and find out the volume of the can in cubic centimeters. Suppose the aluminum that is used in making the top of the can costs .05 cents per square centimeter while the sides and bottom are made of aluminum that costs .02 cents per square centimeter. The soda can’s tab costs 1.5 cents. Maintaining the volume of the current coke can, create a cost function. Determine whether coke is packaged in the most cost effective can. Plot a table of values and show the most effective can for the price if you think it differs from the current can design. Should the soda company change the dimensions of its can? Why or why not? Is there anything about the design of the coke can that may affect the accuracy of the measurements? Should there be extra space in the can (how much) or should it be filled to the brim?
Show work
Brim 6.5 cm
Height going to be 12.25 cm
Side/bottom?
Tab?