A peanut 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 label covers the cylinder’s lateral area, which is 2πrh. Using r = 1.5 inches and h = 2.5 inches gives 2π(1.5)(2.5) = 7.5π ≈ 23.55 square inches per label (using π ≈ 3.14). At $0.02 per square inch, each label costs about 23.55 × $0.02 = $0.471. For 150,000 labels, the total is about $0.471 × 150,000 = $70,650, so the answer is $70,650.

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