Apeanut manufacturing company pays $0.02 per square inch of label used on its cylindrical peanut containers. each container has a radius of 1.5 inches and a height of 2.5 inches. if the label covers the lateral area of the container, how much would it cost to produce 150,000 labels?

The lateral area of a cylinder is given by the formula
                             LA = 2πrhwith r as the radius and h as the height. The lateral area is therefore (with π approximated as 3.14)
                             LA = 2(3.14)(1.5)(2.5) = 23.55 in^2
The cost per label is LA * $0.02 / in^2 so
                   cost = 23.55 in^2 * $0.02 / in^2 = $0.471 per label
So for 150000 labels, the total cost is
               total cost = $0.471 / label * 150000 label
                                = $70,650
The answer to this question is $70,650