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QuizMultiple Choice

Density and Design Problems — Unit test

Question 3 • (OC27) GEO-1206310-S2-Degele-VOL7006P

A company needs to package 7,560 beads. A wooden container shaped like a rectangular prism can hold 180 beads. A plastic cylindrical container can hold 126 beads. The wooden container costs the company $0.70, while the plastic container costs $0.40.Which container should the company use to minimize cost? Explain.

Answer
A
The wooden containers should be used because it will cost $5.40 more to use the plastic containers.
B
The plastic containers should be used because it will cost $5.40 more to use the wooden containers.
C
The wooden containers should be used because it will cost $16.20 more to use the plastic containers.
D
The plastic containers should be used because it will cost $16.20 more to use the wooden containers.

Explanation

The company needs 7,560 ÷ 180 = 42 wooden containers, costing 42 × $0.70 = $29.40. It needs 7,560 ÷ 126 = 60 plastic containers, costing 60 × $0.40 = $24.00. The plastic containers cost $29.40 − $24.00 = $5.40 less, so choice B is correct.

AI-written and checked against the verified answer.

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